Yes, with some PVC piping and instructions easily found on the internet, it is quite possible to make a great bike rack. It will also be custom-made to your own car, which is always a bonus.
I would suggest placing it on the very end. Roll the bike wheel onto the space you choose. You may need a bike lock, if you want to keep your bike from being stolen on the rack. Wrap the lock around...
Well, it takes some fabricating skills, but sure. Least difficult is probably to get a set of pre-cut tubes, lugs and drop outs and build a steel frame. You still need decent brazings skills to pull...