No, Handel wrote his recorder sonantas for alto (treble) recorder which has a range from F (first space in the treble clef) to the G 2 octaves and a tone above. Your soprano won't play that high, so you are out of luck playing the music as written.
You could transpose the notes down a fourth (i.e. A sonata in F becomes a sonata in C) which will bring it into range on the soprano, but because the soprano sounds an octave higher than written, the music will sound a fifth above what the composer intended. You will also need to transpose the continuo part if you plan to play with piano or harpsichord. The sonata won't sound as good as when played on the alto - a little high and screechy.
My recommendation is to move to the alto recorder as soon as practicable. The bulk of the Baroque repertoire is written for alto, and a lot of transverse flute music is also playable on the alto. You could try listening to Telemann and Marcello. They both wrote good stuff for the alto.