Not if you do it properly & it’s almost impossible to scratch glass this way. Don't scrape at it, hold your chosen implement at an oblique angle so it shaves the paint off without it digging in.
As I said NO, not if you do it right Don’t use a Stanley knife that will scratch; just use the blade almost flat against the frame as a sort of scraper; or perhaps you should try a scraper; or perhaps you should stick with the hot water soaked rag.
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