I have an early memory about a time before I was born? Am I psychic? I don't know how it got there, I just had it in my mind since as long as I could remember. I'm also good at predicting what time of day it is and how much time has passed.

It is unlikely I'm afraid! The brain is very good at coming up with false memories out of stories it has heard. A study by psychologists Loftus and Pickrell demonstrated that just telling someone something happened to them (when in actual fact it hadn't) leads to them 'remembering' that false event around 25% of the time. (Loftus, E.F.; Pickrell JE (1995). "The formation of false memories". Psychiatric Annals 25: 720–725)

It is likely you heard about the event when you were young and this created a 'memory' of it, the memory of hearing about it soon passing away.

However if you are able to manifest special abilities I suggest you get in touch with the James Randi foundation. They are willing to give one million dollars to anyone able to manifest psychic or supernatual abilities.

Hope this helps!