No, he was not. Messiah ben Jospeh was the Suffering Servant of Isaiah 53 who was identified by Isaiah as being Israel if you read Isaiah 41:8,9; and 44:1,2,21.
There is no doubt that Israel is YHWH’s servant, but they are not the same servant found in Isaiah 53. That servant is spoken of in Isaiah 42:1-7; 49:1-7; and 50:4-10.
Isa 42:1 Behold my servant (Yeshua), whom I uphold; mine elect, in whom my soul delighteth; I have put my spirit upon him: he shall bring forth judgment to the Gentiles.
Isa 42:2 He shall not cry, nor lift up, nor cause his voice to be heard in the street.
Isa 42:3 A bruised reed shall he not break, and the smoking flax shall he not quench: he shall bring forth judgment unto truth. (Israel brought forth lies and deceit - Jer 9:5,8)
Isa 42:4 He shall not fail nor be discouraged, till he have set judgment in the earth: and the isles shall wait for his law.
Isa 42:5 Thus saith God YHWH, he that created the heavens, and stretched them out; he that spread forth the earth, and that which cometh out of it; he that giveth breath unto the people upon it, and spirit to them that walk therein:
Isa 42:6 I YHWH have called thee in righteousness, and will hold thine hand, and will keep thee, and give thee for a covenant of the people (the New Covenant ratified by Yeshua’s shed blood), for a light of the Gentiles (Israel profaned YHWH among the nations – Ezekiel 36:21);
Isa 42:7 To open the blind eyes, to bring out the prisoners from the prison, and them that sit in darkness out of the prison house. (Fulfilled by Yeshua – Luke 4:18)
Isa 49:1 Listen, O isles, unto me (Yeshua); and hearken, ye people, from far; YHWH hath called me (Yeshua) from the womb; from the bowels of my mother hath he made mention of my name.
Isa 49:2 And he hath made my mouth like a sharp sword (Israel's mouth was full of lies and deceit); in the shadow of his hand hath he hid me, and made me a polished shaft; in his quiver hath he hid me;
Isa 49:3 And said unto me, Thou (Yeshua) art my servant, O Israel (Yeshua is the epitome of a true Israelite. As their king, he represents the entire nation), in whom I will be glorified.
Isa 49:4 Then I said, I have laboured in vain, I have spent my strength for nought, and in vain: yet surely my judgment is with YHWH, and my work with my God.
Isa 49:5 And now, saith YHWH that formed me from the womb to be his servant, to bring Jacob again to him (how can the people of Israel be this servant and yet, bring Israel (Jacob) back to YHWH?), Though Israel be not gathered, yet shall I be glorious in the eyes of YHWH, and my God shall be my strength.
Isa 49:6 And he said, It is a light thing that thou shouldest be my servant to raise up the tribes of Jacob, and to restore the preserved of Israel (the people of Israel will not raise up the tribes of Israel and restore themselves. This is a different servant): I will also give thee for a light to the Gentiles (See Isaiah 42), that thou mayest be my salvation unto the end of the earth (Israel will not save the world. Yeshua already did that).
Isa 49:7 Thus saith YHWH, the Redeemer of Israel, and his Holy One, to him (Yeshua) whom man despiseth, to him (Yeshua) whom the nation abhorreth, to a servant of rulers, Kings shall see and arise, princes also shall worship, because of YHWH that is faithful, and the Holy One of Israel, and he shall choose thee (Yeshua).
Isa 50:4 Adonai YHWH hath given me the tongue of the learned, that I should know how to speak a word in season to him that is weary (not speak lies like Israel): he wakeneth morning by morning, he wakeneth mine ear to hear as the learned.
Isa 50:5 Adonai YHWH hath opened mine ear, and I was not rebellious, neither turned away back.
Isa 50:6 I gave my back to the smiters, and my cheeks to them that plucked off the hair: I hid not my face from shame and spitting. (Fulfilled by Yeshua – Mark 14:65)
Isa 50:7 For Adonai YHWH will help me; therefore shall I not be confounded: therefore have I set my face like a flint, and I know that I shall not be ashamed.
Isa 50:8 He is near that justifieth me; who will contend with me? let us stand together: who is mine adversary? let him come near to me.
Isa 50:9 Behold, Adonai YHWH will help me; who is he that shall condemn me? lo, they all shall wax old as a garment; the moth shall eat them up.
Isa 50:10 Who is among you (Israel) that feareth YHWH, that obeyeth the voice of his servant (Yeshua), that walketh in darkness, and hath no light? let him trust in the name of YHWH, and stay upon his God.
The prophecy of the Suffering Servant was known as the Scapegoat sent by the High Priest to Azazel Eastward through the desert, if you read Leviticus 16:6-10. When the time arrived for that prophecy to be fulfilled, Israel, the Ten Tribes was taken Eastward through the desert to Assyria. So, the Messiah was exiled forever, not physically dead. That's just like the Scapegoat every year on the Yom Kippur would not be sacrificed but sent to Azazel.
Lev 16:15 Then shall he kill the goat of the sin offering, that is for the people, and bring his blood within the vail, and do with that blood as he did with the blood of the bullock, and sprinkle it upon the mercy seat, and before the mercy seat:
Lev 16:16 And he shall make an atonement for the holy place, because of the uncleanness of the children of Israel, and because of their transgressions in all their sins: and so shall he do for the tabernacle of the congregation, that remaineth among them in the midst of their uncleanness.
This is the Atonement sacrifice that pertains to Isaiah 53:10. The suffering servant not only suffered, but died as a sin offering for the people. The scapegoat is also fulfilled by Yeshua since he is the sin bearer of Isaiah 53:11-12 who carried our sins away.