If you mean you want one remote to control any of 10 different cars, then yes there are a bunch of them. When you start looking at radios, look at the "Model Memory" spec. That's how many different cars you can have associated with that one remote.

Examples (just type any one of these into the search bar on www.amainhobbies.com):

Spektrum DX3R or DX3S
Airtronics M11X
Futaba 3PM-X
KO Propo EX-1 or EX-10