Definately plausible. Only thing I can think of is, how long would it take the AI to learn how to control the body? After all, you're talking about a million and one actions we do with out thinking about....
If the AI was capable of running an ultraviolet node with realistic-looking VR, and making their VR persona imitate facial expressions (as at least some of the AIs in the setting can), then I suspect that they could do the same with a robot body's servos and motors. And there is at least one cyborg body/drone in the setting that looks good enough to pass for human, at least at first glance. (Mitsuhama Otomo,
Arsenal page 121.)
So yes, it seems entirely possible for someone to build an android body for an AI to inhabit. Wouldn't be cheap, however. (The Otomo is 150,000 nuyen.)