Today you can.
I don't think it is a stretch to think that in another 6 months there could be financial institutions giving API access to other institutions through ChatGPT, and all it takes it a stupid access control hole or bug and my above sentence could ring true.
Look how simple and exploitable various access token breaches in various APIs have been in the last few years, or even simple stupid things like the aCropalypse "bug" (it wasn't even a bug, just someone making a bad change in the function call and thus misuse spreading without notice) from last week.