Can I remove the backs of a 9 cube organizer without demolishing the structure?

I recently bought I used 9 cube organizer that I wanted to revamp. I really wanted to remove the backs of the shelf so I could access it from both sides. Is there a way to do this without messing up the structure? If not, then maybe is there a way to reinforce it without using crossbars? Any ideas, carpenters? :)
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