I think it is. It's a very effective painkiller, but I should let you know that there are some warnings online about the dangers of putting it in your mouth.  I think you should really talk to your dentist if you want to use it at home.
assitant
Is it that you’re concerned about the alcohol, or is it more that you’re worried about the tooth?
assistant
How do I stop the pain from an impacted tooth?
user
Have you tried using ibuprofen? I think that might be helpful.
assistant
It works for awhile, but I don't want to keep taking the pill.  Do you have any alternatives?
user
I could make a homemade tooth-numbing gel if you’d like.  Do you have any idea what ingredients you’d like?
assistant
Can you give me the recipe for this?
user
Here you go: You'll need 3 tablespoons of rubbing alcohol, a bit of baking soda and 3 drops of clove oil.  Just put all of this in a pot with a bit of water and bring it to a boil, and it should be ready in about five minutes.
assistant
Is it safe to put rubbing alcohol on a tooth?
user