alpha methyl stryene

[Vibrating_Lights]

is it possible to isomerize alpha methyl styrene to beta methyl styrene???

[GC_MS]

I don't think so. I don't see how you can transfer the methyl group from the alpha to the beta position in a simple way. Maybe by using some sort of exotic rearrangement, but certainly not by something I am aware of.

[Aurelius]

Alpha methylstyrene is too stable as is.  Not to mention for a rearrangement like that you would have to create a cation on a primary carbon vs a benzylic carbon.  Isn't going to happen (obviously, there's always exceptions, but I don't think this is one)