Yes but just for safety better to move it than delete it, never knows what other problem can appear. I'm trying to help a player for a few days that crashes on a particular frame in the introduction to episode 11 (the scene with Lana and Than) and one of the things we tried was with the persistent file, fortunately I said to move to a safe place and not delete it because their game didn't even run without it. Usually it should just create a default persistent file when doesn't have one.
Also there is usually a backup on the appdata/roaming/...season3Badik save folder etc etc, that persistent file also should be moved just to be sure it creates a default one. You will lose your settings as well and probably even your music app settings, that last one not sure. But surely will make ALL the gallery entries locked hehe but if you keep the old one just in case something goes wrong, just place it back.