Can we have multiple AcceptVerbs attribute for a public controller method?

Above answer is wrong
We can used Multiple AcceptVerb
Example:

[AcceptVerb(HttpVerb.Get | HTTPVerb.Post)]
Public ActionResult ContactUs()
{
  //Code
}

If You using Shorthand of AcceptVerb i.e. HTTPPost or HTTPGet then you can't used multiple AcceptVerb.

The compiler throws an "Duplicate 'AcceptVerbs' attribute" error if we have multiple attributes on an action method. The correct way to include multiple verbs is by ORing the different verbs together as specified by Neha275 in the above answer.

     [AcceptVerbs(HttpVerbs.Get)]
        [AcceptVerbs(HttpVerbs.Put)]
        public ViewResult List(string category, int page = 1)
        {}