Cuomo is basically correct, but not in quite the way Trump backers think...
1. If Trump hadn't run for the presidency, he would have been far less interested in covering up his affair with Ms. Daniels and the short term urgency created by the Access Hollywood tape that triggered the payment through Mr. Cohen and generated the various crimes (illegal campaign contribution/loan by Cohen, false records to conceal repayment in Trump Org records)
2. The payment to Ms. Daniels (and therefore the nature of it) only came to light because the DOJ got the bank records of Mr. Cohen that included it and he was only under investigation because they were investigating a number of Trump associates for possible connections to Russian interference in the election (Mueller investigation) and they were considering the possible involvement of Mr. Cohen. So again if Trump hadn't run in 2016 or at least hadn't employed so many sketchy, Russian-tied characters (Flynn, Manafort, Gates, Coffee Boy) the payment would have never come to light and Cohen would never have been charged with it.
So yep, if Trump had never run for president in 2016 there would have been no illegal campaign contribution to cover up and if that campaign hadn't been filled with Russian-contacted persons, there would have been no Mueller probe to accidentally find the records of the original payment from Cohen to Daniels.