2 questions: towing capacity and hitch carrier

Am I able to tow a 700 lb motorcycle with my 1993 volvo 960 wagon? If so, is there a hitch carrier (not a trailer) that will fit a Ural motorcycle with sidecar?

NO and NO!!! According to this look up chart, http://www.campinglife.com/towrating/index.cfm?action=search&yr=1993&make=Volvo&model=&min_tlimit=&max_tlimit=7500

Your car has a 3300lb trailer wgt rating. So the normal 10% tonque wgt is 330lbs.

A Ural and a 960 Wagon!

A small trailer sounds like the way to go.

Some carriers: http://www.motorcyclecarrier.net/rv_motorcycle_carriers.html

Forget a hitch carrier, a small trailer is the way to go.