Not sure why this got -1. It's unlikely, yes, but not impossible. While most people who have it are born with it, epilepsy can indeed develop during the course of one's life, and it's not always as simple as "flashing lights cause seizures". There's many more triggers that can cause seizures, and other things. Sometimes a person with epilepsy might see flashing lights, or hear or smell something funny and not have a seizure, but they will feel sick.
Psychogenic Non-Epileptic Seizures (PNES) are also a thing. It mimics epilepsy quite closely, but it is
not epilepsy - though it has many of the same triggers leading to the same consequences (seizures, mainly, among other things). This one also can (and usually does, by my understanding) develop during the course of a person's life. Post Traumatic Stress Disorder (PTSD) is often an underlying cause leading to PNES.
Disorders such as these are not very well understood, because unfortunately, it doesn't get the same attention as other diseases (how often do you hear about breast cancer awareness?). It wasn't really all that long ago we were burning people alive at the stake, believing they were witches, or demon possessed, or some other such nonsense because they exhibited symptoms similar to what these disorders cause.
@Knoxx29 I won't ask you to answer such personal questions, but on the off chance, there is a possibility you could be developing such a disorder. If you currently are or have been under a significant amount of stress, or dealt with some horribly traumatic event, there's a chance you might be dealing with something like this. If you think that may be the case, feel free to throw me a PM.