Is it musically feasible to modulate from F Major to D Major?
I'm doing an arrangement of "O Little Town of Bethlehem" for a vocal quartet and piano at church. It has been about 35 years since I had a music theory class. I want to do two verses in F then transition into D Major for a verse of another hymn then maybe finish in G. Dropping to D minor would be perfectly rational, but I am going to D Major by changing the last melodic note of the second verse from am F to an F# and building a D Major chord around that. It's abrupt, but I like the sound. From there a perfect 4th up to G for the last verse of the original hymn (not sure if I can pull off the voicing and keep my first tenor as a friend, but we'll cross that bridge when we come to it). Can I musically justify this progression or do I need to go pull out my old copy of Walter Piston's "Harmony" and study the rules again?
btw, this arrangement is due tomorrow (Sunday Nov 10) at 4 PM so I am on a real time crunch here. Any help is highly appreciated.