Kita-dake day-trip from Kofu possible?

Relying entirely on public transport, is it possible to climb Kita-dake as a day trip from Kofu? You mentioned in one of the comments a 4:20am bus from Kofu to the Hirogawara trailhead. What time was the last bus from Hirogawa trailhead to Kofu in 2013 say around early October? I guess that would determine whether or not it was possible. And assuming they stuck to the same timetable in 2014.

My plan would be to catch a train from Tokyo in the afternoon, stay in a hotel overnight in Kofu, then catch that extremely early bus to the trailhead, do the trailhead-summit-trailhead walk in say 11 hours, then catch the bus back to Kofu, and train back to Tokyo that afternoon/evening.

Possible or a pipe-dream?