Is it possible to remove all the dander from my dog?

No: You can't get rid of all the dog allergen, although you can reduce it by bathing the animal twice per week, vacuuming with a filtered vacuum, having hard floors and using a hepa filter. This is a lot of work though, so it's often better to relocate the animal outside if possible or not to have a pet in the first place if you have allergies.

Nope.: Dander is the flakes of skin that come off as skin regenerates itself. No one has figured out how to genetically engineer a dog to have no skin and live to tell about it.