I seriously doubt it. In the old days, the norm was the September home games would almost always be at night for comfort reasons. The non conference portion of the schedule in particular. Exceptions were UCLA in the afternoon time slot a few times and I remember sitting in 100+ degree heat and folks passing out in the stands in the early 90's. Add the prime time October and November games in there, and 3 is probably an average number.
Found an old media guide that has the night games marked on the scheudule. Starting in the early 70's, almost all of the September games at home are at night. When more games were televised starting in the 90's, we had 3 night games in 89 against Colorado St, UCLA and Duke to start the season, 4 in 1990 including the bowl game, 3 in 91, 4 in 94 including the bowl game, 3 in 95, 5 in 96 all in the regular season, 5 in 97 including the SEC ship and bowl game, 4 in 98 including the SEC and NC game, 6 in 1999, 4 in 2001, 5 in 2002, 4 in 2003, 5 in 2004, 3 in 2005, 3 in 2006, 4 in 2007, 4 in 2008 and 6 in 2009.
So the record is 6 which has happened at least twice.