In general you would need to have closely related viruses in order to create a hybrid so that the different viral proteins are able to interact in a productive manner. This is regardless of mechanism of how the hybrid was generated. So strictly speaking it might be possible is likely to be exceedingly rare and unlikely.
As a viral vectors for gene therapy CDMO, I'd be interested in the answers to this question. Would be great to meet other researchers who are conducting research in gene therapy.