No.
The Bible doesn’t actually contain a law banning all prostitution, but it does tend to be disapproving of it.
When Judah found out that his daughter-in-law was “guilty of prostitution”, he thought she should be burned to death. And Paul thinks Christians should never be “united” with prostitutes.
What does God think of prostitution? He seems to disapprove of his people visiting the houses of prostitutes. He seems to think prostitution is a shameful practice, a horrible thing that defiles Israel. God said prostitution was leading his people astray and would cause them not to flourish. He said he was against someone because by being a prostitute, she had somehow enslaved nations and caused huge wars. The Bible implies that male shrine prostitution was one of the “detestable practices” that provoked God to try to wipe out the native inhabitants of Canaan.
Kings who expelled the male shrine prostitutes from the land were doing what was right in God’s eyes. God punished Jehoram for leading the people to “prostitute themselves”, though it’s not clear whether that’s literal or a metaphor for idolatry.
God had his prophets tell several allegorical stories portraying his people as a prostitute. He describes her prostitution as a wicked act of rebellion. He doesn’t want his wife back after she becomes a prostitute. God punishes the land when she defiles it with her prostitution and wickedness, and he thinks she ought to be ashamed. He also disapproves of her killing his children, but just the prostitution would have been bad enough.
And then there’s Ezekiel 23, where Israel and Judah are both prostitutes, which God thinks is depraved, defiling, disgusting, and shameful. So he hands them over to be stripped, mutilated, and killed, in order to put a stop to their prostitution.
So it sure sounds like God hates prostitution, though it’s possible he just hates idolatry, which is what those parables are really about. That’s a problem with a lot of these passages. It’s hard to tell whether the Bible is really talking about prostitution or not, since it so often either uses it metaphorically, or conflates it with other behaviors like adultery.
Anyway, God also has a few laws on the subject of prostitution. He never completely outlaws it, but he does have some laws concerning more specific scenarios:
- You’re not allowed to make your daughter into a prostitute, because that would result in a land full of prostitution and wickedness. Sounds like God thinks prostitution is wicked, then.
- Israelites aren’t allowed to be shrine prostitutes.
- If a priest’s daughter becomes a prostitute, she has to be burned, because she’s a disgrace to her father.
- Priests aren’t allowed to marry women who have been prostitutes.
- The earnings of prostitutes can’t be given to God to fulfill a vow, because God hates their money.