To complete the dockyard missions yes, you can complete any 6, however that specific mission gives you one of the "build level tokens" so you would miss out on one build token if you skipped it.
That being said, even if you play 5-6 battles a day for the next 11 days, this is doable if you are able to play 10 it is 100% doable.
I casually play 5-7 battles a day and I am 3/4 of the way through that mission.
-Hapa