Actually CRAZY, it's possible. They told you how on X-Play. You need to pick 9 Intelligence to start, then make a mad rush to Rivet City and get the Intelligence Bobblehead. You also need the perk that gets you three extra stat points when you level up, and the one that makes skill books worth 2 stat points instead of one. Then, you power level, and hunt skill books. (There's actually a place where a Raider spawns with the Big Guns book every 3 days). Bobbleheads are important too.
I didn't do any of this stuff, but I got all the bobbleheads with my second character, and she had a minimum of 39 in her skills (I think in Big Guns) and five skills maxed out at 100 (Repair, Medicine, Science, Lockpick, Small Guns). Most of my skills are in the 50s and 60s, so I don't doubt that with some power leveling and more skill books I could have gotten 100 in all.
In March it will become childs play, as the level cap will be raised to 30. If they don't add a few more skills, it will become very simple the max everything.
Wanna listen to me rant about stuff? I started a blog!
https://theloonybinblog.wordpress.com/