Without further information this question is impossible to answer.
I teach various computer-related subjects, but I don't know for certain what a "program error" is supposed to mean. Is it something hardware-detected (like a page fault)? Or is it that the code does not do what the programmer intended it to do?
Whether a hardware error will occur depends on the hardware used! In general, this will not be the case.
The question might mean that the ISR always generates the same interrupt again. On a chip that disables interrupts up to the interrupt-return (PIC) this new interrupt could
- simply be ignored (when the ISR clears the interrupt at the end), or
- result in infinite re-activation of the interrupt (when the ISR clears the interrupt before it causes it again) - this could be intentional or not (= program error??)
On chips that allow an interrupt to interrupt itself (AFAIK this is rare) the infinite recursion would cause a stack overflow. (Which could manifest itself as a page fault. Is that a hardware error?)
If the question means that an interrupt occasionally causes same interrupt it is very likely that nothing special will happen, although the second interrupt might not be handled (But again, this depends on how the chip handles nested interrupts and how the ISR is coded.)