Is there a network hard drive that I can set up as a drive?

I want a NAS at home via my router? Install the hard drive and then access it on the go with my laptop.

Can I set up the hard drive as a drive on my laptop?

Is it all possible?

That's fine

Of course this is possible. However, in order to be able to access it externally, you have to set up forwarding.

For this you need a DynDns that updates the router ip so that you can always reach the NAS via a defined address. Another option would be to use IPv6. Each device receives an address that can be accessed globally from the Internet. This requires port approval in the router.

Here's a tip from me: If you have the Fritzbox as a router, this has an integrated NAS function. Then it is sufficient to connect an external USB hard drive. I recommend a 2.5 inch size, they do not require an additional power supply. For example this: https://www.bueromarkt-ag.de/festplatte_toshiba_canvio_basics_hdtb420ek3aa,p-hdtb420.html

This can then be set up as a drive letter.