Can you contract strep throat from oral sex?
I am not a doctor and can't diagnose you, but Paul is correct about the transmission of strep throat. Any cut or open area of the body could make transmission more likely. I hope if you have gotten strep throat that all is well. I must admit your question was one I had never considered, so it was a good contribution to the site!
Best of luck,
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Strep throat is spread by nasal secretions or saliva. If you come into contact with either of these from a person infected with this bacteria while still contagious, in whatever manner the fluids are exchanged, you are likely to also become infected.
So it depends on the circumstances involved.
You can read about Strep throat, and prevention in this article from the National Institutes of Health.