Day 6, 4impacted wisdom teeth removal. Still can't close mouth all the way due to little lumps @ the back of my mouth (swollen gum?). Is this normal?

It is not normal. Wisdom teeth. It was a surgical procedure and is not completely risk-free. Pain, swelling and infection following surgery is usually at its worst 24 – 48 hours after surgery. After that it should subside more and more every day and after 7 days stop. Your symptoms could be a serous problem. See your dentist or an oral surgeon for post-op appointment and treatment.
Can have swelling. You may have swelling for a number of days. I would suggest seeing the oral surgeon that took you wisdom teeth out.