It might work, it might not. I've never tried it but a few people on her have posted they were successful doing that. Some also reported failure.
You only have one egg started. It might or might not hatch. If it does not, you should be OK. You can candle it and see if it is developing...
You certainly can take the chicks away and brood them yourself. I let my broody hens raise the chicks with the flock but others do what you are talking about or do other totally different things. We all have our own goals, set-ups, and reasons for doing what we do.
I personally would wait...