Yes. Be careful what you will/wish for because you will get it but not exactly how you wanted it or when you wanted it. If you want something bad enough put all of your thought and heart into it and be consistent. Also, use plenty of detail.
The book, The Secret, claims that you can. If I radiate positive energy, people respond in kind and vice versa. I haven't yet been able to "will" acquiring material things. Maybe it's a matter of having 100% faith and belief that you can.
No. That New Age búllshit called "The Secret" is a lie. You don't control things other than yourself with your mind.
I don't believe magic works. You need to follow up the "will" with constructive actions. You can't expect to sit in lotus position willing things to happen and expect them to happen.
I categorize something happening by pure will as the equivalent of magic.