Research has shown that there is absolutely a connection between sleep and procrastination, with low-quality sleep increasing the likelihood that people will procrastinate, particularly among people who are naturally prone to procrastination.

This is attributed to the fact that sleep is crucial when it comes to replenishing the mental resources that you need in order to self-regulate your behavior effectively.

This article contains a summary of research on the topic which came out recently: https://solvingprocrastination.com/study-procrastination-sle...