I checked under Configuration and Links Manager, it does not have a field for images.

Links Manager

Title Value Action
Links Box - Display View All Links true
Links Box - Display Submit Link true
Display Description As Link false
Enable Click Count true
Submit Link - Require Reciprocal Page true
Display Link Title 1
Display Link Description 2
Display Link Click Count 3
Link Title Minimum Length 2
Link URL Minimum Length 10
Link Description Minimum Length 10
Link Contact Name Minimum Length 2
Links Check Phrase yoursitename
Links List - Scroll Box Size/Style 6
Length of Link Categories Name 20
Select Links Sort Order 1
Number of Link Categories Per Row - Default is 3 3
Image - Link Category Height 80
Image - Link Category Width 80
Image - Link Image Width 150
Image - Link Image Height 30
Only registered customers may submit a Link