tl;dr: No. Not with current implementations, and it would be unsafe if it were permitted.
This Tweet kicks off a Twitter thread with some more details:
Can you pay a #Bitcoin Lightning invoice twice?
If you are looking for something like a "Static" LN invoice, there are a couple approaches.
BOLT 12, which has been implemented in c-lightning, is a way to essentially refer a payer to the node that is to be paid, in order to request a new invoice. While the BOLT 12 offer can be static and reusable — it always refers to the same node — the payee can generate new invoices on the fly when requested, allowing for much more flexibility, Provoost explained.
And then LNUrl Pay
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And there was also this other post, here on SN, with more info on that:
Lightning Needs Static QR Codes #54844
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