I believe the vaccine is not the mark of the beast however the mark of the beast will be a future booster shot or a new vaccine that will alter your DNA changing your DNA name to a new DNA name (the number of man)
I could be wrong and the current vaccine may be the mark but why I doubt its not the mark of the beast is the vaccine is not the same vaccine world wide yet.
Consider the following scriptures with regards to the rapture
9 After these things I beheld, and lo, a great multitude, [j]which no man could number, of all nations and kindreds, and people, and tongues [k]stood before the throne, and before the Lamb, clothed with long white robes, and palms in their hands.
10 [l]And they cried with a loud voice, saying, Salvation cometh of our God, that sitteth upon the throne, and of the Lamb.
11 And all the Angels stood round about the throne, and about the Elders, and the four beasts, and they fell before the throne on their faces, and worshipped God,
12 Saying, Amen, Praise and glory, and wisdom, and thanks, and honor, and power, and might, be unto our God for evermore, Amen.
13 [m]And one of the Elders spake, saying unto me, What are these which are arrayed in long white robes? and whence came they?
14 And I said unto him, Lord, thou knowest. And he said unto me, [n]These are they which came out of great tribulation, and have washed their long robes, and have made their long robes white in the blood of the Lamb.
15 Therefore are they in the presence of the throne of God, and serve him [o]day and night in his Temple, and he that sitteth on the throne will dwell [p]among them.
16 They shall hunger no more, neither thirst anymore, neither shall the sun light on them, neither any heat.
17 For the Lamb, which is in the midst of the throne, shall govern them, and shall lead them unto the lively fountains of waters, and God shall wipe away all tears from their eyes.