Yes, there are many methods for calculating the theoretical values. There is also a lot of published experimental data for airfoils, especially NACA foils. Your best bet would probably be to take a look at this data.
Since you are asking I would assume you are not looking to come up with the theoretical equations, so check out
Every airfoil will behave slightly different, but if they're not to thick on may use some linear theories.
There are many theoretical texts on this. The drag should go quadratically with lift, while lift (before stalling) goes linear (slope about 2*pi) with the angle of attack.
And google on:
Parasite drag
Induced drag
The laminar bucket
Linear lift theory
A classical text on this issue is:
Abbott, Ira H., and Von Doenhoff, Albert E. (1959): Theory of Wing Sections. Dover Publications Inc., New York, Standard Book Number 486-60586-8