The way I read Minnesota's webpage it isn't very likely...
http://admissions.tc.umn.edu/PDFs/ResidencyReciprocity.pdf
"Students from Other States. If a student from another state moves
to Minnesota and attends a post-secondary institution within the
first calendar year before attending the University, that student
shall be classified as a nonresident and will remain a nonresident
throughout his or her presence as a student. The nonresident classification will not change for a student who moved to Minnesota
for the primary purpose of attending a post-secondary institution.
After the first year, the classification may change for a student who
establishes that his or her purpose in moving to Minnesota was
not primarily to attend school but rather that he or she moved to
Minnesota with the intent to remain in Minnesota as a permanent
resident. Look at the section Supporting Evidence on the next
page for more information.
Spouses and Common Households. Marital status and common
household relationships may support an application for resident
status but do not in and of themselves meet the Basic Definition of
Residency.
Supporting Evidence. Actions such as the following may help to
support an application for resident status insofar as they apply
to the Basic Definition of Resident Status: maintaining a
permanent address in Minnesota; listing Minnesota as the military
home of record; registering to vote or voting by absentee ballot
in Minnesota; maintaining Minnesota automobile registration;
owning property in Minnesota and paying state property tax;
filing a Minnesota tax return; and remaining in Minnesota during
the summer. Such actions are considered to indicate an applicant's
intention to remain in Minnesota as a permanent resident. They
are not, however, su icient in and of themselves to establish residency"