Are they coordinated and mobile? If so, it's safe to move them to the brooder. They need to be able to get under the heat and away from the heat, though, since it isn't thermostat regulated.
I would be a little nervous, though, about putting them in the brooder and then going off for the day. I like to be able to watch them for a few hours. In fact, we lost three quail babies last night because I put them in the brooder and then went to bed. They got trapped under a towel under the brood lamp and died from the heat.
In your case, I'd open the incubator, remove the water & shell pieces and other sources of moisture, let it air out for a minute or two with the lid open, then put the babies back in and leave them till you get home. They'll be fine in there where the temp is just right, and with the sources of humidity removed they should dry out some.
When you get home you can put them in the brooder and watch them for a while to make sure they're comfortable and safe.