http://www.ural.com/yes, I had a sidecar on a Harley.
The CTX frame will not take it and there is not enough power unless you would be happy running around not exceeding say 50mph. Also there is no reverse.
Steve, forget it or get a bigger bike with sidecar already configured.
Ah, that's your rig in the Photo of the Month contest! Nice, brother. That sidecar looks to have a lot of protection for the passenger.Rather than listen to the naysayers, the CTX works fine as a tug. The brakes are more than adequate and it will cruise all day at 70mph. MPG will drop to just under 60, but it makes for a great combination.
I have a Sweet SL220 installed and it's my daily driver. Very affordable option.