If a loan was made to you and it has not been repaid by the due date, it may be possible to charge a reasonable rate of interest. However, if a loan was made to you without any interest rate stated, then they cannot simply charge you interest on the time in which you had the money. Additionally, if there was no late fee agreed between the parties then it may be doubtful that a late fee can be charged.
However... if you are discussing a credit card that you have and are stating that you never recieved the information -- be very careful about this. I would doubt that no information was provided prior to your use of the card. I won't deny that I am not quite satisfied with the level of consumer protection offered by federal law, but regardless, it still doesn't mean you would be off the hook in this context.
It sounds like there are many facts about this transaction which we are unaware.