I know you can hook up a pick up straight to an Amplifier and it works. so are their any guitars made with just the picup and plug? it would make the Guitar more clean looking.
I've seen DIY guys do it once or twice, using a volume pedal on the floor rather than on the guitar, and using the tone-shaping abilities of the SFX chain and/or amp. I've never done it, and it's pretty rare, so it's probably not as practical as one might hope. I've seen much more often where the controls on the guitar are limited to just one master volume, or one for each pickup so they can be mixed instead of switched.