Yes it is possible. The thing with AvPD is that it affects you even when you're by yourself. It never leaves you and every thought is impacted by it. It doesn't come and go based on situations.
It's fantastic you've found something that works for you. Keep working with that until it stops getting better. Have you tried CBT therapy for your SA? Remember that treatments don't cure anything but help you get to the point that you can make progress on your own. It could be that if you commit to SA treatment and give it time to sink in you'll find your symptoms are manageable.