Maybe? The "dizzy effect" effect means you're losing consciousness. If you feel allow yourself to feel it for too long (about 6 to 10 seconds) you'll go to sleep.
You can get that feeling by breathing lots of air very fast (hyperventilating) too. That's probably the safest way to pass out from it without actually dying.
You can also play with it if you make a "hanging set up". You tie a noose made of a shirt to a door knob somewhere, you put your head in it, and you push forward to put weight on your neck. Then when you get the feeling, you let go. My personal way of testing it is by making a noose that I hold with my hand and push behind my back to create pressure. That way if I do pass out, because my hands will let go, I should wake up without any brain damage.
If you didn't have your arteries touched/compressed then that feeling was probably something else .
It's the same feeling that everyone feels when they faint, from any reason.
If you've ever fainted in your life, then that's the feeling.