My dream is to be a NASA astronaut. I am a 16 year old girl from India, my height is currently 5 feet, and my weight is 55kg. Can my height and weight create problems in fulfilling my dream?
Besides potential height requirements: you are still young.
Focus on what you can achieve towards reaching your goal, and by the time you'll be old enough, the requirements might have changed. Especially with the booming space commercial industry.
- Study hard
- Aim for the top; you want to be the number 1 student in every topics.
- Reach for higher education, especially if your local school isn't one of the best. Websites like kan academy can help a lot.
- Keep a fit shape, exercising regularly is good.
- Try playing KSP: it's fun and will teach you something useful.
- Learning foreign languages. Currently Russian and Japanese are the most useful but I suspect Chinese will supplant them soon.
In the end, it will payoff. You might not become an astronaut but you'll accomplish other great things by aiming high regardless.
As far as physical size, it will all depend on what the design requirements were/are for the vehicle you plan to ride in.
For example: Since the Space Shuttle was designed to serve a large and diverse crewmember population, it had generous height limitations. (I'd love to quote them, but the situation in Houston is...interesting right now, and it would take a while for me to find them.) Memory says it was 5%-95% percentile of the American population in the 70s when it was being designed.
Future vehicles designed for tourism may have even more generous size requirements.
This paper quotes the same 5%-95% percentile requirements for an advanced space suit. Perhaps that is the de facto standard.
To complement Antzi's answer, here is some advice by the one and only Chris Hadfield on how to become an Astronaut.
Paraphrasing: In order to become anything first you have to decide what you want to be -it should be exciting to you-, once decided other decisions should aim at turning yourself into want you want to be. In order to become an Astronaut, you need to keep your body in shape, learn things -expose yourself to the right stuff- and learn to work (at home or somewhere else).