Typically, no, or at least ‘not in most parts of the United States’. While tomatoes can thrive in tropical environments and produce fruits year-round in such conditions, our ‘local’ tomatoes have been relegated to being ‘annuals’. That’s because they have to deal with the cold and accompanying frosts when winter arrives. Without any special protections from the chill, they usually don’t survive, although every now and again a ‘volunteer plant’ will show up as result of a dropped shoot from last year’s planting – it’s just very rare.