Hi Barnack...and welcome.
Quote: "1) is it possible to create a first person game, but not shooter"
Absolutely.
Quote: "like something with swords, spears, shields? Expecially"
Take a look at these two videos from Errant AI
http://www.youtube.com/watch?v=5opLcywEQyk
http://www.youtube.com/watch?v=AljS_plktvU
Both are good examples of what your asking. All your questions really comes down to good scripting and patience.
At the bottom you'll see a "search" box. With a little searching you will find many examples what your asking for. Read thru some.
best
You know you're a bad gamer when you're able to run out of infinite lives.