Yes, it is possible.
I, and a number of others on this forum, have the Panasonic DMR-EX75EB-S, which does exactly that; plus it has a DVD recorder.
You will only need one decent aerial, which you would connect to the aerial-in of the recorder, then connect your TV to the aerial-out socket of the recorder.
If you don`t want a DVD recorder, then the Humax models seem to be well thought of. Something like this: