This kanji depicts a trident or a pitchfork. Imagine using a pitchfork to spread things out in the sun to dry them, or to separate things, thus 'interfering'.
The kanji 干 looks like a 'T' for 'TOWEL', which you would hang out to DRY. The long bottom stroke represents the ground or a clothesline.
'KAN' — sounds like 'CAN'. You can DRY food to preserve it in a can.