Technically no. Because of the nature of the way the local servers are set up - the host ends the game and the server basically doesn't exist anymore until they log back on so giving people admin access would be pointless. That being said, there are mods available which would work if you have a dedicated computer that's running a local server full-time.

The two most common...

SkToolbox
Server Devcommands

Both are on Nexus... though use at your own risk and make sure you trust the people you're playing with!