Some of these have been permanently deactivated, but I believe the Manager and Bitcoin apps are still functional. Be aware that they haven't been updated in some time, and so using them is a big security risk.
Last time I try Ledger apps in Chrome ( few months ago), Ledger Manager is just show blank page so it was not possible to add / remove apps. Ledger Bitcoin app was working, but very slow as opposed to how it was before. It's maybe possible to move coins via Chrome app, but only those whose apps are already installed on Nano S.
In case OP have only bitcoin stored on Nano S, Electrum and other forks of this wallet can be solution, but outdated coin apps can make problems even with Electrum.
In most cases updating firmware does not require seed, it is just precautionary measure. However OP is have very old firmware, and can experience problems during update, so before doing anything finding seed should be a priority.
Abrasax, in case you use Windows 7 do not start updating on this OS, it is not supported by Ledger.