Can You 301 Redirect A Relevant Domain To A GMB Listing?

In episode 266 of our weekly Hump Day Hangouts, one viewer asked if one can 301 redirect a relevant domain to a GMB listing.

The exact question was:

Can I 301 a relevant domain directly to my gmb listing? or should I point to a GMB website I build instead of the gmb listing? If so, should I make my contact details private just in case Google tries to see who the owner of the domain is?