Might can.

source: 
LAGS
Entry: 
296
Example: 
Might can.
Modal 1: 
might
Modal 2: 
can
Gender: 
Female
Race/Ethnicity: 
Black
Age: 
42
Level of Education: 
High school (Graduate)
Home Community, Town, or State: 
TX (Dallas)
Location Collected: 
TX (Dallas)
Year: 
1975
Relation to Addressee: 
Unknown
Medium: 
Spoken
Sentence Structure: 
unknown
Status: 
Naturalistic