Yes, your date of birth has no direct impact on how your future will turn out. The best thing you can do is work hard, stay positive, and be nice to those around you - and hopefully good things will come your way naturally.
How unfair would the world be if we were simply predestined for failure or success depending on what day we were born?
It would almost remove any need to behave well or work hard, as one could attribute any success to fate and chance, and nothing else.
It's wishful thinking, and you're better off taking destiny into your own hands here.