No, the lens on the Konica I (of which I used to own one) was not interchangeable. It was a collapsible lens that looked somewhat like those seen on old Leicas, with a pull-and-twist chrome tube, but it did not unscrew from the body.
The camera used a manually-cocked leaf shutter built into the lens, rather than a focal-plane shutter built into the camera body, so there wouldn't have been any way to incorporate a standard LTM lens mount.
The Konica I is a neat old camera, in an elegantly spartan sort of way, and if I recall correctly, the quality of its lens was very good -- but that's the only lens you get to use with it.