Realistically, there might be nothing stopping a similar system happening with crypto but the deflationary nature does stop it from happening exponentially quite a bit and limits the margins of the companies that can make use of it (they'd probably have to make the reserve the funds that they don't expect to just be moved off at some point - or a float they won't go below).

The fact you can readily and easily remove bitcoin goes somewhere to stopping the fractional reserve system from controlling it imo (the current banking system doesn't really allow for that as you're transferring funds between businesses fairly close to each other or have limits on how much cash you can withdraw at once from a certain branch).