Yes. Snoring can be associated with sleep apnea and this can result in poor sleep. Inadequate sleep is associated with many illnesses.
Snoring and Behavior. If snoring is so severe, that is the airway is so severely blocked, this may disrupt quality of sleep. Both upper airway resistance syndrome and sleep apnea are two diagnoses that affect quality of sleep. Anything that regularly disrupts sleep quality, may affect behavior. Many children with add / adhd are found to have sleep apnea during sleep testing. Best way to know, have a sleep test.