No not anything is possible. The Eagles played for crap down the stretch and come into this week cold, out of practice and missing 50% of their offense. They'll be lucky to survive the Vikes tomorrow (which is NOT a compliment of the Vikes). The real problem whoever represents the NFC this year has is that they haven't gotten to play any good teams to get there, they simply won't be up to speed with the AFC representative.
If either the Vikings or Rams defense can show it can play playoff football like they did last week, they will become the team to beat in the NFC, home field or not.