Nope. The calendar day is defined using standard time and we are currently on daylight time. Midnight standard time is actually 1 AM daylight time. By 1 AM, the temperature fell to 67ºF and that stands as our official non-record minimum for the day.
Easy come, easy go. Even the 93ºF maximum wasn't a record. It would have tied the record the previous day, but in 2003 we hit 99ºF on May 28th.