Summoning is for summoning, and there isn't a binding focus, so I'd say no you can't.
The attacks listed under Attacks are all possible attacks, not all attacks they have by default. Spirits of Air have Elemental Attack as an Optional power, while Spirits of Fire have Elemental Attack as a base power.
All spirits so far have the Close Combat skill, which gives them a way to attack even if they don't have the Elemental Attack power, or Engulf, or other power that can be used as an attack. All of a spirit's skills are at a level equal to their Force, so a Force 5 Spirit of Earth, when manifested, rolls 8 dice to clobber its enemies with rocks and dirt (Close Combat 5 + Agility 3). The damage would be a base of 2S unless otherwise noted.
The Exotic Ranged Weapon skill that some spirits have is to be used for their Elemental Attack, should it be chosen.