Gates Carbon drive on a Trek FX-S5 (Commuter) I've been looking at the Gates Carbon Drive and was interested to know if it would it be possible to put a Gates Carbon drive system on a Trek FX-S5 ? I'm planning to use the bike mainly for commuting to work. So want to avoid the Oil/Grease/Chain mess without getting into a Lycra suit.
No. Installing the belt requires a frame with chainstay or dropout that can be split so that the belt can be installed.

For avoiding dirtying your clothes, there are solutions like chain guards, reflector straps or plain old rolling up your pants or stuffing them into socks.