Can rotary tool bits be used with a drill?
Impact driver? I wouldn't. Those bits are so small you'll just shatter them.

Regular drill? Maybe. Most drills max out around 1000-1500 RPM, although some specialty drill models max out around 4000 RPM. On the other hand, a Dremel usually starts at 5000 RPM and can max out around 30,000 RPM. So depending on the bit, you might get adequate performance. But most bits will probably be completely unusable.