Can Byakugan/Rinnegan eyes be transplanted on non-Byakugan/Rinnegan users?
Is it possible for Byakugan and Rinnegan?

Yes, it is possible to transplant a Byakugan eye. This has been shown in the series by the shinobi Ao. Unlike Kakashi and his Sharigan, Ao can active and deactived it at will.

unlike other dōjutsu that have been transplanted, Ao can activate and deactivate his Byakugan at will.

The Rinnegan can also be transplanted, as seen with both Nagato and Obito

If Naruto's eyes be replaced with Byakugan or Rinnegan eyes (direct transplantation), can he handle the powers?

The transplant is theorically possible, since transplants has been shown various times throughout the series. However, given how this is also not shown in the series, whether Naruto can handle the powers or not would be speculation and opinon-based until the writers decide to incorperate this.