Snapdragons can behave differently depending on climate. In many gardens, they are grown as annuals, but in mild areas they may survive winter or return from seed.
So the answer is yes sometimes, but not always in the same way.
Snapdragons are short-lived perennials in some mild climates. If winter is not too harsh and the soil drains well, the plant may regrow from the base.
Even when the original plant dies, snapdragons can drop seeds. New seedlings may appear nearby the following season if the seed heads are left in place.
In colder regions, snapdragons are usually treated as annual flowers. Frost, wet soil, and repeated freezing can damage the roots.
Let a few flowers go to seed at the end of the season. Add light mulch in colder weather, but avoid burying the crown too deeply.
Cut back lightly rather than removing the whole plant too early if you want to see whether it regrows.
Snapdragons may come back every year in mild climates, or return through self-seeding. In cold areas, it is safer to treat them as annuals.