You certainly can have old stuff move down and get stuck.
Before next flush, try eating all the granny smith apples that you can injest. Drink apple juice or apple cidar ... ALOT of it. Try acv in water. *grin* try doing it allllll. This should help break up the clump.
Next flush, be sure you're doing a flush that includes epsom salts to relax the bile ducts so that it passes!
To relieve your discomfort in the meantime, drink PURE water with lemon juice, acv or a pinch of epsom salts. I found drinking this as a hot toddy more effective.