I am not a fan of Altoids survival kits myself, however for the OP's purposes, double bagging the kit in small Ziploc brand double zippered bags then wrapped with an elastic to keep the plastic compact is cheaper, more effective, much easier and less hassle then other methods of wrapping the kit in various bandages of tape, ranger bands etc.
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Earth and sky, woods and fields, lakes and rivers, the mountain and the sea, are excellent schoolmasters, and teach some of us more than we can ever learn from books.

John Lubbock