Yes, although the shell is transparent and soft to begin with. Snails need calcium to harden their shells and the first thing a newly hatched snail does is to eat the casing of its own egg to absorb calcium.

Do land snails grow their own shells?

Snails are, in fact, born with shells, but they don't initially look like how you might imagine them. ... As the snail continues to grow, its shell grows with it. The snail produces new shell material, like the soft material of its protoconch, that expands its shell and then hardens.

Why does my snail have no shell?

A snail's environment determines whether it will come out of its shell. To avoid freezing or drying out, some snail species hibernate during cold winter months or droughts, slowing their heart rate and sealing their shells with mucus. Snails are also nocturnal and avoid exposure to sunlight.