| Mnemaxa |
Sure.
At level 11, if you spend most of your evolutions on limbs and claws, it's entirely possible to build the multiattack eidolon.
That also means you do not get to spend those evolutions on size increases, damage increases, or defenses because you'll need almost all of them for limbs and pounce. It also means that with each attack you are at -2 for every natural attack and -2 for one weapon attack in addition -6 for every off hand weapon attack using the eidolon's 3/4 BAB attack bonus. Any non-weapon magic item you get for the eidolon is a magic item that most likely cannot be used by the summoner, so be careful with your allocations.
So basically what you are creating is the total-miss-monster.