Is it unrealistic to dream about being a singer?

I've sung around the house since I was little and memorized every song on The Power of Love album by the time I was in second grade and even though I sung a lot, I've always put the idea of being a singer in the back of my mind. I love animals so I want to become a veterinarian yet I know a big part of me is for singing. Ever since I got into the Korean hip-hop group BIGBANG, my feelings for wanting to be a singer went into an overdrive and now I can't stop thinking about grabbing the opportunity-the fact that I'm still in my teens. I have several dilemmas though: 1) My parents wouldn't approve...they know I don't SUCK at singing-I would say I'm average but I've had more than a couple people tell me I'm pretty good...my parents would consider this an unrealistic dream and to not waste time on it. 2) I can't dance. When I say 'can't', I mean I haven't had much experience with it but I am a hard worker and will dedicate myself if I have the opportunity to-what I mean is if I had the BIGBANG Doentary type of experience, I would be equally if not more hardworking than them. I do have a compion for music but I've always been on the shy side for dancing because when I was a child my sister would criticize me and I held back on it. Recently, YG Entertainment gave the opportunity for auditions but I missed the date...I guess I would say I want to become a singer so bad it burns but I don't know how to take the right steps. I need to build up my confidence in dancing but I don't have the time? I live in California-the Bay-and I am Asian so I can always go back to Taiwan or China to try it out there but I feel trapped right now because I'm not going to stay in my teens forever and if I want to do something it has to be now. All I want is advice...and I'm sorry if this was long and a bit confusing :( Thank you though.