Pistols were there in 18th century America, you could get one if you wanted, but most probably didn't. They could be as expensive as a long gun, and nowhere near as useful. People did not go around with flintlock pistols stuck in their belt, like in old movies, where they presented the 18th century as just like the "old west".
Men sometimes carried pocket pistols, and sometimes had larger pistols, though I don't know how much they may have actually carried them. Horse pistols were in pairs, carried in "buckets" or pommel holsters.
Thomas Jefferson had a favorite pair of Turkish pistols with very long barrels that he used to squirrel hunt with. But most people had limited funds, and pistols were generally not so useful for them, their gun-buying money more often went to long arms.