Yes, there is no reason why a Buddhist wouldn’t or couldn’t have tattoos. They are commonplace in many countries - here in England for example, they are extremely common. Having said that, Buddhists reconise that the body will break down, being subject to old age sickness and death.How does Buddhism view tattoos?
Tattoos are only an impediment to receiving ordination if one was marked with them as a punishment for a crime. “Keep to your own pastures, bhikkhus, walk in the haunts where your fathers roamed. If ye thus walk in them, Māra will find no lodgement, Māra will find no foothold.”