Is It Possible to Reduce the Nose Bridge in Between the Eyes to Give Wider Eye Effect?

Without a picture it's difficult to give you a specific recommendation, but it is certainly possible to lower your nasal bridge (radix and dorsum) to give the appearance of your eyes being less close together.  It would involve using a rasp, osteotome, powered burr, or some combination of those to gently lower this area.  

In general, the bose bridge can be narrowed during rhinoplasty. A flatter bridge, especially in the radix area between the eyes can make the eyes appear further apart.

Actually seeing photos of your nose would help us give you a better idea of your options.

Making the nose thinner is done by breaking the bones and moving them toward the midline. This is a standard part of most rhinoplasty procedures. In your case it depends on whether your nasal bones are too wide to begin with. If so, then you would be a good candidate for such a procedure.