No. If the box is symmetric (that is as long as opposite sides remain parallel while the box is stretched or shrunk in one direction) all the angles will be the same. Only if you make the box more random - opposite sides being different lengths and not parallel, will you get different angles. You can see this very easily if you just imagine stretching a hexagonal box with tools - you could cut it down the middle of any two opposite sides, glue in whatever additional length you need, and you'd have the stretched box without ever having touched any of the angle cuts.
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