The complete article about this may be discovered at https://help.unity.com/hc/en-us/articles/212064606-How-do-I-develop-to-PlayStation-platforms-
Contemplating the passages (emphasis mine)
If you want to make use of Unity to
develop
for PS5 or different
PlayStation® {hardware}, that you must be a licensed PlayStation®
developer and have a legitimate Unity Professional serial key.
and
To
register
as a PlayStation® Associate, get entry to the DevNet
developer community, and obtain your Unity Professional serial key, you first
have to register on the PlayStation® Companions web site.
and
When you
try and construct
to a PlayStation platform, you may be confronted
with the next (or related) message in the event you should not have a
PlayStation license activated:“Your license doesn't cowl PS4 publishing"
.
This suggests to me: No. You aren’t allowed to B&R even whether it is for your self with registering and you’ll encounter the the issue that with out registering, you will not even have the ability to construct the sport for simply your personal PlayStation. Attempting to avoid that’s in opposition to the Eula and would possibly convey you authorized bother.