Might can.

source: 
LAGS
Entry: 
294
Example: 
Might can.
Modal 1: 
might
Modal 2: 
can
Gender: 
Male
Race/Ethnicity: 
Black
Age: 
78
Level of Education: 
8th grade
Home Community, Town, or State: 
MS (Little Springs)
Location Collected: 
MS (Little Springs)
Year: 
1973
Relation to Addressee: 
subject to fieldworker
Medium: 
Spoken
Sentence Structure: 
unknown
Status: 
Naturalistic