I did a P2P transaction with "Coingraam" due to difficulty getting GBP off Binance. With a goodish rating, over 1400 trades and several years of activity I assumed it would be ok. A few days later I received a text message from Lloyds saying my account had been used to receive fraudulent transactions and they'd be closing my account.

I reported this to Binance a few days ago and Coingraam is still happily trading on there, so Binance doesn't seem too fussed.

So I'd say yes, there is a high rate of fraud with Binance P2P. Don't use it.