Could I might possibly bother you for a minute?

source: 
Mishoe
Entry: 
32
Example: 
Could I might possibly bother you for a minute?
Modal 1: 
could
Modal 2: 
might
Gender: 
Female
Race/Ethnicity: 
White
Age: 
40s
Level of Education: 
Graduate school (Some)
Home Community, Town, or State: 
Unknown
Location Collected: 
SC/ NC (Unknown)
Year: 
c1990
Relation to Addressee: 
student to student
Medium: 
Spoken
Sentence Structure: 
2.0
Status: 
Naturalistic