I trained myself to have relative pitch...I used to wish I had perfect pitch, but realized its not everything because there are musicians who have it, but aren't skilled enough on how to use it and even non-musicians who never use it, and singers. I have been told that perfect pitch can be learned...
As it stands right now its more of an opinion, not proven one way or the other...
General reference...Wikipedia, I know not the best resource, but some general info on subject below...
Absolute pitch, or perfect pitch, is "the ability to identify the frequency or musical name of a specific tone, or, conversely, the ability to produce some designated frequency, frequency level, or musical pitch without comparing the tone with any objective reference tone, i.e., without using relative pitch.
Many people have believed that musical ability itself is an inborn talent. Some scientists currently believe absolute pitch may have an underlying genetic basis and are trying to locate genetic correlates; most believe that the acquisition of absolute pitch requires early training during a critical period of development, regardless of whether or not a genetic predisposition toward development exists.
The "unlearning theory," has recently been revived by developmental psychologists who argue that every person possesses absolute pitch (as a mode of perceptual processing) when they are infants, but that a shift in cognitive processing styles (from local, absolute processing to global, relational processing) causes most people to unlearn it; or, at least, causes children with musical training to discard absolute pitch as they learn to identify musical intervals.
An unequivocal resolution to the ongoing debate would require controlled experiments that are both impractical and unethical.
Researchers have been trying to teach absolute pitch ability for more than a century, and various commercial absolute-pitch training courses have been offered to the public since the early 1900s. It has been shown possible to learn the naming of tones later in life, although some consider this skill not to be true absolute pitch. Although it has been shown possible to learn to identify pitches, keys, and everyday sounds later in life, no training method for adults has yet been shown to produce abilities comparable to naturally occurring absolute pitch.