Can a Pokemon get a status condition of the same type?

there are various rules concerning that the bulbapedia has the full list

  • poison types cannot be poisoned (like steel and the immunity ability)
  • paralyzed is not electric specific (glare and stun spore causes paralysis as well) and all types can be paralyzed
  • freeze can also happen on all types but ice types are immune to ice caused freeze (the only other moves which can freeze are tri-attack and secret power)