Sorry, but no -- a Konica FS-1 uses a different mount than either the Minolta MC/MD or the A mount.
Konica did buy out Minolta, but this was quite a while after the FS-1, FT-1, etc., had been discontinued. They also sold the Minolta camera division off to Sony quite soon after acquiring Minolta. As far as I know, there was never any work done on creating any sort of adapter to allow any compatibility between the two completely separate camera lines (and when Sony bought it, they got the Minolta camera division, but as far as I know, the old Konica camera division was long gone, so they didn't acquire any rights to it at all).