Can I have two MIDI controllers doing separate tasks in separate programs all in the same computer?

I am using a Korg PadKontrol with Ableton Live and a MIDI keyboard with Logic, but I can’t seem to get Logic to unrecognize the PadKontrol, the ending result being that I always hear keyboard sounds from Logic when I hit the padkontrol and trigger samples in Ableton ( essentially the sounds always overlap ). Super frustrating. Is there any way to completely separate the two controllers and programs?