I would be surprised if there are any binaries that are outright impossible to run under Nix. I spent a weekend getting Xilinx ISE to run in Nix [0], that is a binary behemoth. It uses bubblewrap (already used in Nixpkgs) to setup a bunch of bind mounts so that the binaries see a standard FHS Linux layout.
Yeah, nothing is impossible if you have the time/energy to spend the effort :) I'm not saying there are binaries that are impossible to run, just that some of them are very hard to get running correctly if they have some special setup where the automated tools don't work very well with it. Things like Java programs that are wrapped in a shell-file that gets called from a binary tend to be a huge hassle to get setup correctly, while on other OSes like Arch Linux, you simply run the binary and it works.
Again, not impossible to get them running, just a huge timesink.
[0] - https://github.com/benpye/nix-fpga-tools
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