No. They both wrote a lot of music for voice. As just two famous examples: Bach's Mass in B Minor, and Handel's "Messiah".
the Messiah
because
Handel wrote music because it was his desire and he followed his dreams
Handel wrote Music for the Royal Fireworks in 1749.
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He was deeply religious. But he did not write messiah.
Messiah
Yes, he can.
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Operas, and oratorios
the piano and the violin