The short answer is YES and NO.
If the father is dead it should say so on the cert. BUT it depends on the person registering the marriage to ask the question in a way that the respondant understood. It also dependson on the parties concerned hearing the question correctly amid the hustle and excitment of a wedding, and giving the right answer.
If it says he was dead then he most probably was (there are occasions when the couple wished to distance themselves from a 'difficult' father). But if it does not say then you can not tell.