Ethyl acetate is soluble in water. Thus you'll not be able to create an emulsion of this in the classic sense - a surfactant bridges 2 insoluble phases (say oil and water).  You would need to encapsulate the water in a polymer that was not soluble in ethyl acetate (and ethyl acetate is a pretty good solvent for many systems).

to be precise there is partial (mutual) solubility. To avoid problem of designing such emulsion instead of an emulsion you may live with a saturated solution of water in ethyl acetate.

Basic problem is, as emulsifier you would need amphiphilic molecules with a moiety compatible with water saturated ethyl acetate and another compatible with ethyl acetate saturated water. The latter should have smaller special requirement to form water in solvent emulsion. This could be a group capable to form hydrogen bonds. The other maybe a backbone of a polymer soluble in ethyl acetate. 

Another option would be to encapsulate the water droplets and stabilize the resulting dispersion.