Not really most babies don't experience vomiting when teething so it's not really normal to be vomiting during the teething phase however all babies are different and can experience different symptoms while teething.
If your baby is vomiting while teething you should take your baby to the doctor to be sure the baby doesn't have something else wrong with him/her.
When a baby is vomiting during teething they could have a respiratory infection that a doctor needs to see to treat.