Anything is possible I suppose, but if these are those decorative LED strips that are used around the headlights, well they hardly take any power at all. When installing my 20" LED strips on each headlight I pre-tested them with one of those little 9V radio batteries. That's the beauty of LED's they are super efficient and super low power draw. You should have blown a fuse before you cooked the harness. Heck, the LED's probably draw less than the relay itself would draw. If it really damaged the harness I would expect to find some secondary problem that allowed this to happen.
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