Cars, Trucks and Motorcycles

I think my car has a bad battery. I was successful in jump starting my car with another car. I could get it started and running for a few minutes with jump start cables. I then turned both cars off, disconnected the jump start cable. My car couldn't start then without the cable.

Can I disconnect my jump start cable when the two cars are still running? That way I can drive the car to an auto shop and have the battery replaced.

Thanks.
Felix.

Kathey