The short answer in "no".
Your car has the anolog heating controls.
What you're after is the automatic climate control which is a digital system controlled through a "final resistor" requiring a different wiring harness.
If this is really important to you and you have to have your specific car, and if you spend enough money, you can get anything .... I however would consider selling your car and buying another with the automatic climate control system.
1996 E36 M44 318i 5sp LSD