Does being under-leveled hinder main quest progress?

I'm level 42 and was going through Volume I, Book 7: The Hidden Hope, but Dwalin didn't give me the next chapter when I completed the quest. Is this because my level? On the wiki it says it's a level 48 quest which would make me 5 levels lower than the quest level. Is this why I didn't receive the next chapter, Should I just level up abit and go back to him? Thanks in advance