I only chewed tobacco 10 times in my whole entire life. Could I still get mouth cancer?

Not likely. Ten episodes of chewing tobacco are not likely to increase your risk of mouth cancer over your background risk. There are other causes of mouth cancer; alcohol, and hpv infection being two prominent ones.
Rare. Tobacco in any of its forms is the usual antecedent to mouth cancer. The exposure you have had is trivial and will not increase your risk. You still could get it as there are a few who have that happen despite no tobacco in their lives.