No, William Shakespeare did not live in the Victorian times. Shakespeare was born in 1564 and died in 1616, which places his life during the late Tudor and early Stuart periods in England.
The Victorian era, on the other hand, began in 1837 and lasted until 1901, coinciding with the reign of Queen Victoria. This was a time of significant cultural, industrial, and social change in England, quite distinct from the world that Shakespeare knew.
Shakespeare’s works were created during a time when the English Renaissance was at its peak, and his contributions to literature were foundational to English drama and poetry. By the time the Victorian era came around, Shakespeare had been dead for over 200 years, and his plays were already being revered and adapted in various ways.