Sure, but if your RNG is compromised, there's no point talking about encryption in the first place.
Contrast with deriving a key using cryptographic primitives, which can accept low-quality randomness (as long as there is sufficient entropy), that can be easily and transparently collected.
But that was never the problem. The problem is, now what? To use this OTP you need to securely deliver pads to everybody you'll ever send a message to. So, OTP is practical for a handful of secret agents who'll receive messages of a few dozen words per year from a single controller, and useless for most of us in the real world.
_This_ problem is why we have public key cryptography.
The only thing that OTP buys you is that you can exchange the pads at your convenience any time before.
With a few GB (a couple bucks in a supermarket will buy a 8GB usb stick) you can communicate in text about 16 thousand books worth of words.
In other words, to deplete the pad you would have to write sixteen thousand books.
I think that's pretty convenient, as far as literally unbreakable encryption goes!
It's just that key-sharing is basically the most complicated and vulnerable part of modern cryptography.