Depends which side of the fuse you're putting that on. If it's on the battery voltage side then no. Other side I.e current goes through fuse first then yes.
Absolutely fine to do it within reason. What are you trying to wire and where?
I've done it before for some LED dash lights when they packed up on our old car. I tapped into the wire after the fuse for the sidelights and LEDs draw no current at all really.
Not too keen on the look of those things, positive unshielded voltage...