Dehumidifer outside to dry inside
Your question is fairly broad without device information, but the theory is sound. You essentially pressurize your home with dry dehumidifier exhaust to expel humid interior air. This depends, of course, on your home not being perfectly sealed. This isn't a problem as no home is. 

The challenge will be ducting the air into your home in such a way as to not create new leaks that will negate the benefit of the dehumidifier.