I own a 2003 honda accord ex 2.4 automatic. I was wondering if the brake fluid reservoir caps on these cars have a slight wiggle to them even after being clicked into place?

Very little. Check the condition of the gasket.

It doesn't wiggle much at all, but I fugured since it was a brake fluid cap and no moisture or air should really get in, it surprised me when the cap wiggled only a tiny bit after it clicked into place.

If the gasket is in good shape, everything is likely fine. Honda recommends completely changing the brake fluid every 2 years.