you most certainly will have to. back in the original game the limit was initially 100k which did keep you going for a while, but you would need to build storages in both versions of the game. The thing is in this game you have to build them almost right away, whereas in the old game the initials lasts you until about battleship stage.
I do agree it sucks, but storages dont cost much... the bad part is the time it takes to build them.. thats really really annoying!