Chrome is very smooth/shiny - no tooth means bad adhesion. Anything that will give good adhesion to chrome will ruin the chrome. Try paint stripper on a tiny not-so-noticable spot to see what it looks like. Chems shouldnt hurt your chrome.
Is it clear-coated? Sand a tiny spot, white dust means clear. If the stripe is overtop clear, and its thick enough, you can sand the stripe off and buff it back to a shine.. If clear is overtop the stripe youre probably screwed. If the stripe isnt painted use heat, however if its old UV damage will be noticeable and you'll have a stripe of shiny new-looking paint.
FYI, Im not an expert, but I will be.