well...actually you can
i dont know about a team, I will leave that to you but:
Electric(covers Flying and Water)
Ice(covers Ground, Flying, Dragon and Grass)
Fight(covers Normal, Dark, Rock, Steel and Ice)
Ground(covers Electric, Steel, Poison, Fire and Rock)
Flying(covers Fighting, Bug and Grass, not affected by Ground)
Dark(covers Psychic and Ghost)
voila...now you can build your team based of these types