Question

Can the terminal potential difference of a cell exceed its emf give reason for your answer

Answer 1

Of course if you apply an external voltage, such as from a charger or other source, the voltage will be greater across the terminals. Your question might be asking how it can happen if you consider the scenario where the sole emf source is the battery itself. One way this can be done is by using capacitors and arc gaps in an arrangement known as Marx generator.