Is it possible to lose contact with a region on purpose?

I am in a bit of a pickle with my run through of the campaign.

I have already taken out the first black site and seem to be quite far into the tech tree as I don't have too much trouble with missions right now. However, I have procrastinated on taking out further advent facilities and now the avatar project has been finished, I am quite close to two other facilities but I am unable to make contact with their regions as I am full on contact spots.

I have about 12 days left in the countdown before game over. This means I am unable to complete the room that unlocks more contact spots because it will take like 15 days to build. On top of that, I don't have the necessary power for the building, and I have an upgraded power station with an engineer stationed there.

Is there a way to purposefully lose contact with one of my regions so I am able to gain contact with a region I actually need?