Hi Carles
Well I guess it would depend on how vigorously you cross-genre'd?
A novel that starts out about a housewife in Leeds and ends up segueing into a medieval inter-planetary war against gigantic dust balls might not make any sense!
However, a novel about a housewife from Leeds who ends up on the run from the CIA is different - begins as chick-lit, becomes action - well, maybe you could get away with that.
But even then, women might start reading it and give up when it becomes too 'action' and men might like that part of it but never get to it because it starts 'chick-lit' (obviously I'm generalising here - personally I hate chick-lit and love Andy McNab.)
Did you have something specific in mind? It might make it easier to give opinions then.
Anna