Yes, I think you can.
Relative pitch will help reinforce your goal of attaining perfect pitch.
Perfect pitch - hearing any given pitch, you can, without help,
identify its name, and probably its register. Asked to sing a given
note, you can sing that note "perfectly." Like you're walking down the street
and a taxi honks its single-note horn - you can identify THAT pitch (is it
Bb? or Gb?)
Relative pitch - given the name of a played note, you can sing (or identify) another
note "relative" to that. Most trained musicians have relative pitch,
as "ear-training" and interval studies help them develop that skill.
Perfect pitch is something different. If you're playing a transposed
version of a piece, and a perfect-pitch-person is reading the original,
in the original key, it will DRIVE THEM CRAZY (like a dog-hearing
whistling noises!) because what you're playing is not what they're seeing
(the pitches) on the music.... Good Luck!