This is a question I have struggled with for many years, and if we look at scripture closely it can be argued either way based on what verses one withes to use. The problem is we have conflicting verses.
When Jesus told his disciples he was leaving them, he was referring to his physical life. He also told them he would send them the comforter (Holy Spirit), now if he is sending Him that would obviously imply the he is not omnipresent. The other issue is, can He be omnipresent if he chooses to do so, I believe He can be.
In our minds the idea to omnipresent seems impossible, but with God all things are possible.
Yes. But see if this helps.
Remember Stephen?
Acts 7
51 Ye stiffnecked and uncircumcised in heart and ears,
ye do always resist the Holy Ghost: as your fathers did, so do ye.
52 Which of the prophets have not your fathers persecuted? and they have slain them which shewed before of the coming of the Just One; of whom ye have been now the betrayers and murderers:
53
Who have received the law by the disposition of angels, and have not kept it.
54 When they heard these things, they were cut to the heart, and they gnashed on him with their teeth.
55
But he, being full of the Holy Ghost, looked up stedfastly into heaven, and saw the glory of God, and Jesus standing on the right hand of God,
56 And said, Behold, I see the heavens opened, and the Son of man standing on the right hand of God.
57 Then they cried out with a loud voice, and stopped their ears, and ran upon him with one accord,
58 And cast him out of the city, and stoned him: and the witnesses laid down their clothes at a young man's feet, whose name was Saul.
59 And they stoned Stephen, calling upon God, and saying, Lord Jesus, receive my spirit.
60 And he kneeled down, and cried with a loud voice, Lord, lay not this sin to their charge. And when he had said this, he fell asleep.
Now a few things.
The OT fathers did not listen to the Holy Spirit that had been working with them all the time. That the law was delivered through the spirit and the prophets of the spirit were killed by the physical. (think John 10:7,8) And that the "Just One" had come to explain the real truth, that they (Jews) were rejecting.
Also, how did Stephen see Jesus? It had to be through the spirit. The Holy Spirit "revealed" Jesus to him in his mind. Had the others looked in the same direction as Stephen, they probably would have seen nothing. It is through the images in the mind that the spirit gives us truth. It is as God wants us to see it, not as man dictates it. Which is why Philips scripture makes sense to me.
Truth did not come into the world naked, but it came in types and images. The world will not receive truth in any other way. There is a rebirth and an image of rebirth. It is certainly necessary to be born again through the image. Which one? Resurrection. The image must rise again through the image.
Anyone can read scripture and get an image. But he who has the image anointed with the spirit of truth as he is anointed with truth, will see the same message. He who doesn't, gets a confusing message. Which "may" be why we have so many beliefs from one source.