Just to add to what other professional collegue/s pointed out:
A. Section 17 (5) (i) states that 'notwithstanding anything contained in sub-section (1) of section 16 and subsection (1) of section 18, input tax credit shall not be available in respect of any tax paid in accordance with the provisions of sections 74, 129 and 130'.
B. Section 39 (9) reads as follows:
"1[Where] any registered person after furnishing a return under sub-section (1) or sub-section (2) or sub-section (3) or sub-section (4) or sub-section (5) discovers any omission or incorrect particulars therein, other than as a result of scrutiny, audit, inspection or enforcement activity by the tax authorities, he shall rectify such omission or incorrect particulars 5[in such form and manner as may be perscribed], subject to payment of interest under this Act:
Provided that no such rectification of any omission or incorrect particulars shall be allowed after 12[the thirtieth day of November] following 6[the end of the financial year to which such details pertain], or the actual date of furnishing of relevant annual return, whichever is earlier."
C. Rule 53 (3) states that 'Any invoice or debit note issued in pursuance of any tax payable in accordance with the provisions of section 74 or section 129 or section 130 shall prominently contain the words “INPUT TAX CREDIT NOT ADMISSIBLE”.'
D. but, rule 36 (3) states that 'No input tax credit shall be availed by a registered person in respect of any tax that has been paid in pursuance of any order where any demand has been confirmed on account of any fraud, willful misstatement or suppression of facts.'
As said by other professional collegues, reasons for short-payment of taxes earlier & bonafide belief / genuineness of confusion about applicable tax-rate etc. (Section 73) or 'short-payment by reason of fraud, or any wilful-misstatement or suppression of facts to evade tax' (Section 74) are key to answer the query.
These are ex facie views of mine and the same should not be construed as professional advice / suggestion.