Someone can get married temporarily by being given a wife by a master Exodus 21
For Life by dowry purchase Ex 21
By marrying a divorced person Ex 24
By marrying the widow of their dead brother who was living with them Deuteronomy 25
By marrying a war captive ( who consents? ) Deut 21

Leviticus 18 and 20 and Deut 22 forbid a married woman marrying another man
None forbid a married man marrying another woman as a blanket rule but there are specific exceptions like incest laws

Many Pastors Lie