Can a method in a rest service not have @Path mapping?

Question

Java

There is a similar service:

@Path("/{Id}/main")
@Produces(MediaType.APPLICATION_JSON)
@Consumes(MediaType.APPLICATION_JSON)
public class test2 extends test1 {

    @POST
    @Path("/img")
    public String method1(@PathParam("Id") String Id, String action) {
        return service(getValue(Id), action);
    }

    @POST
    public String method2(@PathParam("Id") String Id) {
        return service2(getValue(Id));
    }
}

Can a method (method2) in a rest service not have a mapping @Path? Is it valid? If so, in what cases and how does it work in terms of mapping? I couldn't find an answer to this question on google.