While Monzo is cryptocurrency friendly [0] they don't allow payments to binance [1] however thats down to a Consumer warning on Binance from the FCA [2] so I think thats basically a industry wide thing not just a Monzo thing. Silly enough, if you have a paypal account and a PayPal debit card you can use that card on Binance.
[0]: https://monzo.com/help/payments-getting-started/monzo-crypto... (basically just says yes they are)
[1]: https://monzo.com/help/payments-getting-started/binance-bloc...
[2]: https://www.fca.org.uk/news/news-stories/consumer-warning-bi...