Can I get CLS with these teams?

Your combination of empire characters, is rather weak compared to some other easy to acquire teams. However, the event is not that hard, so with very good gear and mods, I guess almost any team will do. However, I'd still suggest to farm EP, Vader and Thrawn. It won't be wasted. They are great in other game modes as well.

If you buy Vader shards in the fleet store at every chance you get, you will get there eventually. Just make sure to always have at least 400 currency saved, in case the shards are up for sale.