Ehhhhhh. Not really. You could make a decent PvE party, but for PvP, you really aren't going to be able to do much. Umbreon and Jolteon are both really popular, and you could easily INCORPORATE those, but the Eeveelutions simply don't have the diversity necessary to have a whole team. I mean, without entry hazards (Like Toxic Spikes, Spikes, and Stealth Rock), your job gets a lot harder.
I would, if you're SET on having as many Eeveelutions as possible, keep Jolteon and Umbreon, pick up a leader (like Tentacruel, Forretress, etc.), and then get a phazer (like Crobat) and a Mix Sweeper (Mamoswine can make an excellent sweeper). Check out Smogon [http://www.smogon.com] for some good tips on which Pokemon are worth using.