I would say so. My brother has those boots and he did not have any problems last year. Before we started ice climbing we used to hike all winter long up on Mt. Washington in EMS backpacking boots. Your feet may get chilly if you stand around to long, but if you are moving you should be fine.
The only problem is if they get wet and you are planning on camping up there. In that case they could freeze, but they should stay dry in January unless the snow is really wet.