No. You have an illness, similar to an addiction. Your family and friends are taking care of you to make sure you can get healthy again. Purging is NOT healthy, it can and will seriously damage your body. I know you want to purge, but you must resist and stay strong. You are RECOVERING. You do not give a recovering drug addict drugs just because they want them. Similarly, you can not purge just because you want to.
Educate yourself and your family/friends about your disorder, so you can better understand and be aware of what you're feeling and why, and they can understand how to help you in your recovery.