I am going to say both 'yes' and 'no', based on these factors:
Yes IF: This is someone you have gotten to know, and you truly, deeply care about this person, and would like to have as a part of your life for a long time.
And even then, I would say just tweak, because if this person has already gotten to know you, and there is an attraction, part of what he was attracted to is your style, whether he admits it or not.
No IF: you have just met this person. Tweak, perhaps, but don't change. If you change for this person you barely know, I think you will have regrets at how you have treated yourself.
I tweak for DBF - for example, he doesn't care for animal print (dislikes it immensely, actually). But that was after several years of being together. And he knows that if the right leopard or zebra shoes happen to cross my path, they're going on my feet