Yes, of course. The question is why would you?
'Style' is usually dictated by preference; what type of position you like, what openings variations you like, whether you are better at calculation or intuition, etc. Basically what I'm saying is; the more you play the more your 'style' is decided for you, so changing it seems like either a natural progression or a pointless exercise.
Is it possible to change your style. i know it's good to play against different opponents so you have always have new opening problems to solve. but in general is it possible to totally change your style?