Can they, yes, but hopefully it is going to be good
But given the age, that might be a struggle at a small school vs say a local, regional that might have a higher percentage of older kids vs. a small school of 18-22 year olds. Of course at the public school , those older kids might work too and have less time socially.
A lot will depend on how your student adapts. It’s not easy but hopefully they do well.