It can be difficult to get out of a drop zone in the US. They are marked on the maps, but there is nothing to say you can't be in that airspace. The drop aircraft is to announce the drop some time before it happens, this is usually two minutes before, one minute before, and then jumpers away, done on the approach control or center frequency. I've been over airports or in the area before and there would have been no way to precisely judge where the jumper aircraft would be in a minute or two minutes'time.
The only thing you can do at a time like that is keep a very good look outside, but as accidents like the one mentioned in Massachusetts show, it's not always going to be possible to avoid a parachute jumper coming down at terminal velocity.
It's a real shame this has had to happen, though. My condolences to the young lady involved.