You may want to look into rewiring your OBD port so that it doesn’t work without you flipping a switch somewhere, or building a “key” with a male and female port + some wires, then storing the “key” in some hidden location (spare tire?).
Or just expose two data lines from the OBD wiring harness and jump them together. Remove the jumper to operationalize the OBD port.
FYI: cutting off VCC may not always work since some devices may derive enough power through other lines that have pull-up resistors to function. I’ve seen it happen in other industries.
Not sure if such products exist commercially, but it would have some value for someone to build them.