Understanding Current Draw
Rating on the adapter indicates that its output voltage is 12v and it can supply a maximum of 3.3A. when adapter is connected to a load, voltage will remain same. but output current depends on the load resistance.

In your case this adapter won't damage your display  driver. instead it draws only required current from the adapter output. 

The concept is just basics of ohm's law. imagine that you connect a 12 ohm resistor at the output of your adapter. according to ohm's law 12/12 = 1A. that means only 1A current flows through the resistor. Same here also. Current through the device depend on the voltage across the device and internal resistance of the device.