Yes.
However, it depends on a number of factors, not least the extent of competition in your niche. If there is low competition, you might make the first page almost immediately; if there is very high competition, you may never get there. You may reach the first page for some search terms, but not for others.
If you are looking for help in improving your ranking, then @jeffreylees has given you some pointers to recent discussions, and you’ll find plenty more information if you search the Marketing category.
If you’re new to SEO, I’d highly recommend that you download Google’s “Search Engine Optimization Starter Guide”.