You can store ERC 20 tokens on a Ledger nano S, but that bad news is that you have to use myetherwallet to access stored tokens. In your case, it wouldn't do much good. Maybe one day Ledger will release a ERC 20 option to manage these tokens directly.
If you are interested, info can be found below on how to setup a Ledger with MEW.
https://cryptosrus.com/store-bitcoin-on-a-ledger-nano-s/ Yeh that doesnt do much good, basically its still completly exposed to phising attack if token has to be accessed trough myethereumwallet. That is one heavy downside of ETH i certainly dont like over other cryptocurrencies, the safety is just in miles bellow the surface, even compared to shitcoins. So is there no other ERC20 token wallet that doesnt need to access website to do any data/transfer sorting?