Yes, it is possible. You can submit either the integer value or the string name of the enum value. A quick experiment verifies this. For example, in HomeController.cs write this.

public class HomeController : Controller {
        public ActionResult Index() {
            return View();
        }


        [AcceptVerbs(HttpVerbs.Post)]
        public ActionResult Index(MyEnum value) {
            ViewData["Message"] = value.ToString();


            return View();
        }
    }


    public enum MyEnum {
        Foo,
        Bar,
        Baz
    }

Then in Index.aspx include the form:

    <% using (Html.BeginForm()) { %>
        <%= Html.TextBox("value") %>
        <input type="submit" />
    <% } %>

And try submitting the value 0 then try submitting Bar and you'll see they both work.

Phil