I took my birth control pill at 7pm, then woke up and committed at 4am. did the pill absorb completely and was 100% effective like if i hadn't puked?

Possibly,: it depends on what you vomited at 4 AM. If it was only clear mucous, indicating that the food (and pill) you ate in the evening had emptied the stomach and had a chance to be absorbed, then likely. If there was a lot of food content in the vomit from 7 PM or earlier, then it may have been dissolved but not actually absorbed, which takes place in the small intestine, and you would have lost it.