Can a college have both Division I and Division II sports teams?
Typically, no. However, some NCAA sports are not sponsored at
all levels. For instance, Ice Hockey is sponsored by the NCAA as a
Division I sport and a Division III sport, but there is no NCAA
Division II Ice Hockey.
Division II institutions that sponsor Ice Hockey can "play up"
in a sport not sponsored in their division. Examples include
Michigan Tech, Northern Michigan, and Lake Superior State, all of
which are members of the NCAA Division II. They all sponsor NCAA
Division I Ice Hockey teams.
Previously, Division II programs could play Division III Ice
Hockey (such as Mercyhurst College in PA). That is no longer
allowed (although Division II programs that were already in
Division III Ice Hockey were allowed to stay and were not forced to
move to Division I).
In other sports, such as football or basketball, which are
supported at all levels, the school must have all of their sports
programs in the same division.