NO ! not to the extend of cancer 
I manage to find out more, snoring might leads to the follow
depending on how seriuos is his snoring.
quote:
If you're snoring it may be you're suffering from Obstructive Sleep
Apnoea(OSA). In this condition, the relaxed throat muscles blocks
the airway briefly hundreds of times each night stopping your
breathing, depriving your body of oxygen. In short-term, this
causes tiredness during the day, irritability and restlessness, and
puts you at risk of accidents when driving. In long-term, it can
cause High Blood Pressure, Heart Attacks and Strokes.