Could I attach a wire from one end of the fuse to the contact? What would be the dangers if I did this?
Gee, if you were born fifty years ago, I would be willing to bet that you would try to replace a blown home house fuse, the kind that screws into a lamp-type receptacle, with a genuine copper Lincoln penny just to get the lights back on. Many homes were destroyed by electrical fires occurring inside the house walls because of this horrid practice. Do as
@Harald Kapp says and spring for the correct fuse.
It
is possible to solder a wire onto one (or both) of the end caps, but there is a good chance the soldering process will also increase the heat
inside the cap sufficiently to melt the blob of solder there that secures the fuse element, usually under tension, inside the glass envelope. There is no recovery if this happens: you need to buy a new fuse. Might as well be the correct fuse.