Do I have any chances with my new neighbour?

Hi everyone! About 1 month ago a very nice looking girl moved to the apartment block in front of mine. She's 28 years old (I'll tell you how I know it), apparently single and she's living alone there. On the other hand, I have been living here with my parents since I was born, 23 years ago. Yeah, I know, I shouldn't be living with my parents with my age but well, I'm Portuguese, unemployment rates are really high here so young adults have a tough time trying to find their first job. Living with parents until 26, 27 is the norm here, unfortunately. Anyway, moving on to the important part. I'm really attracted to this girl, which I don't find weird because my 2 ex girlfriends were also 5 years older than me and I only seem to feel attracted to women in their late 20's... Don't ask me why, I don't know and I don't care. Three weeks ago, I was on Facebook and against all the odds her profile appeared on my suggested friends list (probably because we have 2 friends in common). I recognised her immediately, but sent her a message saying something like "Hi, sorry for your profile invasion but your face looks familiar to me. Where do I know you from?". In the next day she saw the message but she didn't reply and hasn't done it so far. I later realised that my impulsive approach wasn't the best one but what's done it is done. Now, I'm perfectly aware that when a woman doesn't reply, 99% of the time is because she isn't interested or she doesn't care. But I would like to ask you if there is still something that I can do in order to change this. I've been trying to avoid her lately on the street because after being "rejected" I feel kind of weird when I see her. Thanks and have fun.

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