Shades inside of blinds?

My wife has those wooden outside mount blinds. I want black out shades. Can I do both?

Are you asking for smart ones or just regular?

If your window frame has enough depth you could put both inside, which I doubt, so the option would be to inside mount the shade and then mount the wooden blinds on the outside of the window frame.

Smart. The blinds are outside mount

Most of the smart shade options I've seen are about the same size as a regular shade. So if there is room to install shades on the inside there should be room to install a smart shade. You just need power for both devices obviously.

Thank you