Direct answer
HMRC says to send an additional FPS with the correct payment date and use late reporting reason H, ‘correction to earlier submission’.
If the date crosses a tax month, payroll may need realignment. Payment-after-leaving and year-to-date fields need special care to avoid duplication; current HMRC guidance and software control.
Source checked 4 August 2026: HMRC — Correcting your FPS or EPS, current guidance viewed August 2026.