Not necessarily. Unless the officer has a specific articulable reason to believe you provided false information with the intent to hide your identity, then his mere hunch or suspicion is not enough. I guess what I want to stress is that unless the police has some specific reason NOT to believe the information you gave them, then they must accept it at face value. Note, generally a name and valid address will come back on a check to be valid, if indeed it is. Failure of it, on the other hand, is not necessarily enough of a reason to arrest though. It may be enough to question for further details...but that alone is not enough.
HTH
zac
I guess my thought is that it would not be hard for a police officer to come up with a "specific articulable reason" if he/she so desired to do so.