Not really.
If you house unfixed male and unfixed female close to each other they will be very stressed because they can see and smell each other and he will be horny all the time, depending on his temperament he can try breaking his cage, spraying walls and then he can get very depressed and even stop eating. Female will get stressed either she can have fake pregnancies all the time.
So when you separate them make sure they are far from each other and can't see/smell each other then he will stay calmer. It would be best to neuter your male now but still for another 2 months he will stay hormonal and also can get her pregnant again even after neutering, they can be fertile up to 4 weeks after.