What a beautiful cat!!!! And oh yes, I believe the cat could have learned to do it.
I see Mouse trying to move the bolt on the inside of my bathroom door when he decides to come in with me: he know exactly what needs to happen for him to get back out! He also tries to work the door handles on the apartment doors but they are all large round knob ones and no way he can turn them - thankfully. I'm sure if I left the key in the front door lock he'd attempt to use that too - you can see him watching and working out what you're doing all the time!