Will I be charged late payment fee if I pay the minimum payment for Citibank cashback credit card?

This is standard for all credit card.

Pay full -> no late payment fee, no interest
Pay minimum amount -> no late payment fee, but got interest
Pay lesser than minimum amount -> late payment fee, and got interest
Pay nothing -> late payment fee, and got interest

Best is, always pay in full. But you might as, “I don’t have enough to pay full how?”. So you should only spend if you are able to pay it on the spot.