Channel switching on Amp from FX pedal

Just a quick question I couldn't find the answer to on the Boss website. My Korg pedal has an output to go to the footswith conector on my amp. I can then program each patch to use the clean or dirty channel in my amp and the korg automatically swithes the channels in the amp for me. Does Boss have this feature? I'm looking at any of the Boss GT series: GT-3, GT-5 or GT-6. Or any other multi FX pedal.