Yes. The name "Lil" is actually their last name. So, Lil Wayne is actually Wayne Lil and so forth with "Lil John," "Lil Kim," "Lil Scrappy," etc. Hence they are all related and are members of the Lil family.
I doubt it even though they are both from New Orleans, and lil chuckee's real name is Rashad Chuckee Ballard. Where lil Wayne's is Dwayne Michael Carter jr.