Yes, you can do this in Jersey or any JAX-RS implementation (including RestEasy) if your return type is a Response (or HttpServletResponse)
https://eclipse-ee4j.github.io/jersey.github.io/apidocs/1.19.1/jersey/javax/ws/rs/core/Response.html
You can use either of the following:
Response.temporaryRedirect(URI)
Response.seeOther(URI)
“Temporary Redirect” returns a 307 status code while “See Other” returns 303.