The funny thing is that he kinda-sorta already has in "Apollo 13". The Apollo CSM was built by North American Aviation, later named North American Rockwell after a merger. They changed their name to Rockwell International in 1973, then sold their space division to Boeing in 1996.
Rockwell also built the space shuttle. So Rockwell also has the dubious distinction of having built every American crew vehicle that killed its crew.