You can do it using multiple hair particle systems and vertex groups.
First you need to make 2 vertex groups in your mesh (one for affected by force fields particles, other for not affected)
Just select vertexes for group click + sign in Data tab and click assign each of them individually.
When you have 2 vertex groups, add 2 particle systems and customize them how you want.
For the first one, in vertex groups part set density to the first group you have created:
In other particle system set density to the second vertex group.
When go to field weights in the particle system (that should not be affected by them). And put force field you are going to use weight to 0. (Wind for example)
When add Force field:
And now effects of force field will only affect particle system that does not have it's weight set to 0.