Can we migrate oracle database 10gR2 to cross platform

I want to know can we migrate Linux based oracle database 10gR2 (10.2.0.1.0) to windows server 2003 with oracle database 10gR2 (10.2.0.3.0). I have seen the documentation related to database migration where i don't understand the compatibility section. Is this important in migration that both host and target database versions and patch level should be same. Please help me.