You can only update one value at a time if you are trying to do multple where clauses, or you could use nested IIF( ) function calls or you could use the switch function:
UPDATE LSInvoice
SET LSInvoice.UPC = Switch(LSInvoice.UPC="076711005351", "99999900202030",
LSInvoice.UPC="076711005344", "99999900202029",
LSInvoice.UPC="076711005368", "99999900202031",
LSInvoice.UPC="076711005375", "99999900202032")
WHERE LSInvoice.UPC IN ("076711005351", "076711005344", "076711005368", "076711005375")