Monzo in the UK is basically app-only. They have an "emergency" web interface but it only allows read-only access (apart from un-freezing your card) and can only be used if you've used the app in the past 90 days.

Chase Bank in the UK has no web interface at all. Same for Virgin credit cards.

Then don’t use Monzo? Isn’t it a lot easier to choose one of a dozen banks that aren’t app only.