Is there a coach (bus) at Heathrow that goes to Victoria Coach Station?

Yes, about hourly, taking about an hour and single fare is £10.

Yes, but you'd be mad to take it. It takes forever and costs more than the tube (Piccadilly Line).

Get the tube. It also takes you right into the terminals.

David is right - the tube is faster and cheaper. And there aren't many scenic areas between LHR and Victoria Coach station so you won't miss much under ground.

Yes I know Piccadilly line is cheaper and quicker, but the poster may have a good reason for wanting a non-stop service to coach station (well it stops at Hammersmith). He/she may have a coach to catch and a lot of luggage (though the limit is one large case per person to go into the hold plus hand luggage).