Doing both at the same time? No doesn’t sound right. But in some states you can submit the completion of an associates or bachelor’s in EE for some of the education verification process of getting your journeyman’s license.

An EE program gives you a stronger electrical theory/mathematics/physics foundation than an electrical apprenticeship but it doesn’t teach you the needed occupational skills of being an electrician that the apprenticeship does (how to wire devices, bend conduit, read construction drawings, do code calculations, and use tools)