Tough one as the LOVE GOD looks different than others I've seen. Some of the PRINCE I like but it's not a slam dunk. Get some more opinions on this one but I'm leaning towards "no"
I had an early album cover (mid 80s) with a Prince signature. The "Prince" itself looked very close to this one, though I'm not sure if the one I had was authentic.
It's hard for me to see everything clearly on it, but "Prince" does not have the typical R and N, which was very consistent in that style of autograph.
"God" is quite a bit different, too. Prince's G was similar to the G you see on General Mills cereal boxes.
If you got it from someone who knew his personal assistant, I'd say it's likely that it's secretarial: signed by the assistant.