Should one be a nerd to learn everything in programming and be an expert?

Answer 1

No way! Anyone can program.
Of course, a logically-based mind would help, but don't let it limit you. I used to not have a logically-based mind.

Answer 2

I'm not sure exactly what you mean. If you mean "should I learn a bunch of languages and programming concepts," then I would say yes if you enjoy it, then by all means learn as much as you can. If you meant "do I need to learn everything about programming to work in the field?" then I would say no. Then it's probably more important to know the right tools for the job instead of knowing all the tools. If you need to do statistical analysis, Python is probably going to be more important than HTML.