Can the implant come loose? Fall out? Can I rub it out?

Can the implant come loose?  Fall out?  Can I rub it out?

It would be unusual but an implant can come loose.  There are natural elastics (zonules) that hold it in place and if those are damaged by trauma or a degenerative condition… the lens can sink or fall into the back of the eye.   This is repairable but requires further surgery.

An implant can not fall out of the eye… just sink low or fall behind the iris.

This is nothing that you can control.  Touching or rubbing your eyes will not damage the implant.