No, His will is to do the Father's will, that is His choice. He has His own will. He has the power to lay down His life or take it up again, of His own choice. However it was the Father that raised Christ from the dead.
Some verses to think about
John 4:33-35 New King James Version (NKJV)
33 Therefore the disciples said to one another, “Has anyone brought Him anything to eat?”
34 Jesus said to them, “My food is to do the will of Him who sent Me, and to finish His work. 35 Do you not say, ‘There are still four months and then comes the harvest’? Behold, I say to you, lift up your eyes and look at the fields, for they are already white for harvest!
John 5
25 Most assuredly, I say to you, the hour is coming, and now is, when the dead will hear the voice of the Son of God; and those who hear will live. 26 For as the Father has life in Himself, so He has granted the Son to have life in Himself, 27 and has given Him authority to execute judgment also, because He is the Son of Man. 28 Do not marvel at this; for the hour is coming in which all who are in the graves will hear His voice 29 and come forth—those who have done good, to the resurrection of life, and those who have done evil, to the resurrection of condemnation. 30 I can of Myself do nothing. As I hear, I judge; and My judgment is righteous, because I do not seek My own will but the will of the Father who sent Me.
The Fourfold Witness
31 “If I bear witness of Myself, My witness is not true. 32 There is another who bears witness of Me, and I know that the witness which He witnesses of Me is true. 33 You have sent to John, and he has borne witness to the truth. 34 Yet I do not receive testimony from man, but I say these things that you may be saved.
John 6:37-39 New King James Version (NKJV)
37 All that the Father gives Me will come to Me, and the one who comes to Me I will by no means cast out. 38 For I have come down from heaven, not to do My own will, but the will of Him who sent Me. 39 This is the will of the Father who sent Me, that of all He has given Me I should lose nothing, but should raise it up at the last day.
John 6:57 As the living Father sent Me, and I live because of the Father, so he who feeds on Me will live because of Me.
John 11:22
But even now I know that whatever You ask of God, God will give You.”
John 10
14 I am the good shepherd; and I know My sheep, and am known by My own. 15 As the Father knows Me, even so I know the Father; and I lay down My life for the sheep. 16 And other sheep I have which are not of this fold; them also I must bring, and they will hear My voice; and there will be one flock and one shepherd.
17 “Therefore My Father loves Me, because I lay down My life that I may take it again. 18 No one takes it from Me, but I lay it down of Myself. I have power to lay it down, and I have power to take it again. This command I have received from My Father.”
19 Therefore there was a division again among the Jews because of these sayings. 20 And many of them said, “He has a demon and is mad. Why do you listen to Him?”
21 Others said, “These are not the words of one who has a demon. Can a demon open the eyes of the blind?”