Yes - what breed are the ewes and the ram? Most ewes will lamb happily outside if lambed from April onwards, and I number my ewes in October (as in big number sprayed on their side), then raddle the tup (with the powdered stuff not the harness) and take notes every day of freshly coloured bums. This means I know at least the order in which they should lamb and I know which ewe to look out for.
I would not move them to another holding, not only will it be stressful for them in late pregnancy, the biosecurity risk is just not worth it.
You can also build a smaller pen (with hurdles) round the outside of your field shelöter, and then put them inside that for the night (with some food and water), so you can check on them easily during the night if you are worried. I also now know which areas of my field my ewes like to lamb in - next to the fence and in corners are the favoured spots.
If not housed, ewes will normally not lamb during the night, and do it either first thing in the morning or around sunset in the evening. If a ewe has started to lamb in the evening on your last check, stay with her, or move her inside if you can (not always possible).
Lambing outside is far less stressful than in a big shed.