If I buy just the prescription safety frame, can I get the lenses installed by my local eye doctor?

Yes, getting the lenses installed by your local eye doctor if you purchase only the prescription safety frames is typically possible. Many eye doctors or opticians offer lens fitting services, even if you bring your frames. You need to provide the frames to your eye doctor along with your prescription, and they can create and install the appropriate lenses for your needs.
However, checking with your local eye doctor beforehand is always a good idea to see if they provide lens installation services for frames purchased elsewhere. Some eye doctors may have specific policies or preferences regarding frames brought in by patients.