Well, you can quit, but it may always feel like you're wearing shoes which are two sizes too small; there will most likely always be the feeling in the back of your mind that what you're wearing just isn't quite right. I deal with this every day I go to work; man clothes simply don't feel 'right'.
As far as the causes of crossdressing stated by others here, the problem with that, is they assume that there is ONE, and ONLY ONE, cause. The belief that it's somehow genetic or caused before birth is the current favorite one because it relieves everyone of any responsibility for it, especially the crossdresser him/her self, and allows us to tell everyone else that we're just born this way. But that doesn't explain those of us who weren't crossdressers to start with. So they just ignore us and pretend that either we don't exist or that we were simply in denial all those years, repressing or suppressing the desire sometimes for decades. What needs to be done, is examine it all, and try to find out why each of us feels this way. There's no one, true answer that holds the same for everyone.
I stopped crossdressing for about ten years. Then the desire came back stronger than ever. So it can be done, but how long you can keep it up will depend on the individual.