No. Lots of people wrote plays before Shakespeare. The ancient Greeks were writing plays 2300 years ago. The Romans were writing them 2000 years ago. English playwriting developed from indigenous traditions of Miracle and Morality plays, influenced by the Roman plays of Seneca and Terence. The earliest Tudor plays (Ralph Roister Doister, Gammer Gurton's Needle, Gorboduc) were written when Shakespeare was a child. The most popular Tudor Play, Thomas Kyd's Spanish Tragedy, was written before Shakespeare had even started writing and continued to be popular for decades thereafter.
William Shakespeare was an actor, poet and playwright.
William Shakespeare was an actor, poet and playwright.
Will Shakespeare is William Shakespeare, the famous playwright.
She was the wife of William Shakespeare the playwright.
William Shakespeare is said to be the best playwright.
No, he was a playwright.
William Shakespeare was an amazing playwright and poet.
I gather you are not talking about William Shakespeare the playwright who died in 1616. You should probably specify which William Shakespeare you are talking about if you are not talking about the obvious one.
He was an actor and playwright.
William Shakespeare
William Shakespeare.
William Shakespeare