No. Any damage on the sticker makes it invalid and non-refundable.
However, retailers might give a refund for a damaged sticker in case there is proof that it has been damaged in the mail.
NOTE: A broken windscreen qualifies for a replacement (not a refund) of the sticker, learn more about this case here.
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Can I get a refund if I buy the wrong physical Swiss vignette?
Can I buy the physical Swiss vignette on Vignetteswitzerland.com?