Is it possible to have a cover over your chain,cassette,derailleur and cogs to avoid regular cleaning?
Its quite tricky with a derailleur geared bike, due to well, the derailleur having to move. 

A common solution to this is either to:

1) Run single speed

2) Run an internal gear hub 

Both options can be run with a chain case 

which can cut down on some of the maintenance (but does make things like changing the flat or occasional lubrications a bit more annoying). 

Belt drives can also be run in configurations (1),(2), and are supposed to have less maintenance, but you need a more special frame since belts cannot be cut to be installed.