GMAT Sentence Correction (SC) | Doubt - Possesive pronoun

My question is :-
Can pronouns refer to nouns in the possesive case?

Is this sentence correct?
The duality between Racine’s life in the theatre and his life of faith and devotion should be seen not only as an internal division but also as a possible reason that Racine, in an age of optimism, selected tragedy as the preferred form.

Can 'his' refer to 'Racine's' ?

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