I do this sometimes, but only once I get outside of the human bubble, or if I am not trying to go someplace like a nebula or a distant CG quickly. Star scanning accounts for ~20% of my exploration. Scanning quickly while refueling is tricky though because you have to point at the star while getting to a fast enough scoop rate, and if you don't take your time and watch your temps, you can burn up quickly. It also slows down your jump to the next star dramatically because of slow scan time and time spent relocking to the next jump location.
So no, I guess the answer is not really, lol. I like to jump into the black find a good spot and then start scanning and then quickly jump back again. That is not something the DBS is designed for. So I guess I am stuck in my lumbering Asp for the time being.