as someone who manages e-commerce: i can't answer this with a yes or no, but i can suggest a way to decide.
first, measure this: where do your current customers come from? are they passersby, or do they call and come specifically for you? if the answer is "passersby," closing the shop means losing most of your customers. if it's "people who call," location isn't that critical.
simple way to measure this: for two weeks, ask every customer "where did you hear about us" and make a tally. two weeks of notes is better than six months of guessing.
second: try online before closing. while the shop is open, set up a small store, sell for three months. online sales have their own costs: shipping, returns, photos, customer service. don't decide without seeing these.