This is through natural progression through the story.
If you get stuck, every puzzle can be skipped without penalty by pressing
, then Skip Puzzle. You can fast forward through dialogue the same way.
I don't recommend doing these, since you will miss an interesting story and all the puzzles, but you CAN. You can also just skip puzzles you are having difficulty with.
The only two achievements that are missable are these:
I suggest you read the guides for those.