Not really. When they have access to lots of fresh hay, which is an essential part of their diet, they're chewing and so will keep their teeth healthy.
Their teeth also constanty grow and so don't have chance to decay like ours. That's another reason why hay is so important.
Other teeth problems can occur though, such as overgrown front or back teeth, teeth wearing at the wrong angle or abscesses. We can't stop this from happening but if we monitor their eating daily and look for any problems, such as taking longer to eat, dropping bits of food or not wanting to eat we can catch any issues early.
It's not common for a pig to have teeth problems, of the 15+ pigs I've had teeth problems have happened to maybe 3 pigs and that was due to something else causing it. So try not to worry too much about it happening.