Might can.

source: 
LAGS
Entry: 
289
Example: 
Might can.
Modal 1: 
might
Modal 2: 
can
Gender: 
Male
Race/Ethnicity: 
White
Age: 
61
Level of Education: 
Graduate school (Law degree)
Home Community, Town, or State: 
GA (Montgomery Co.)
Location Collected: 
GA (Mt. Vernon)
Year: 
1970
Relation to Addressee: 
subject to fieldworker
Medium: 
Spoken
Sentence Structure: 
unknown
Status: 
Naturalistic