Yes. Westwood Studios have joined with the Blade Runner Partnership to produce an interactive adventure game. Check out the details at http://www.bladerunner.com.
Another official Blade Runner computer game was released for the Commodore 64 around 1982-1983. It featured the player as Deckard, tracking down the replicants on an electronic map. Upon locating one, you had to chase them down a crowded street and shoot them. The music in the game is the End Titles track by Vangelis. Copyright problems with the name ``Blade Runner'' resulted in CRL (the game's producers) obtaining the rights to the music, thus allowing them to refer to A game based on the music of Vangelis' "Blade Runner".