No. Computer Search is an ace spec, which means you are only allowed one copy in your deck.
Normally, when you use a card that has updated ruling, you are required to have a reference copy with the updated ruling outside of your deck. Since that would mean you would need the ace spec version of Computer Search to use as a reference copy, the rules state that you might as well just use the ace spec, so the base set version is still banned from Expanded.