My 1 and a half year old Chuahua Eats normal, plays normally but pukes almost every day but she has no had her shots yet. Why do you think she would be acting normal but puking up orange sometimes chunky but sometimes liquid puke.

There could be a lot of reasons. Dogs are masters at hiding their sickness... Its a survival tactic that they have kept from their wild ancestors. If a dog in a pack is sick or acts weak, the pack will turn on that dog... That particular dog will either be killed by the pack.. or chased off to fend for itself.

Your best bet is to take the dog in to the vet for an exam. It could be the food your feeding,or it could be something worse like a blockage. The dog at 1 year of age should be up to date with shots that are appropriate for its age. I would hope its DHLPP series has been completed for 6 months now... The only other necessary shot would be rabies... which would have been given at 6 months.

Yes, being up to date is the most important thing, and really with out knowing what the dog has been vaccinated against, there is no telling what could be wrong.
Your best bet is to take pup to the vet, get them up to date, spayed or neutered if need be, and then the old once over by the vet to rule out anything serious.
Dogs will usually puke if the food they have taken in has stayed in the stomach too long. That can be caused by something slowing down the evacuation of the stomach content (pooping) Sometimes the problem can be created by a spasm in a muscle surrounding the entrance into the small intestine.
But it could be allergies, could be a blockage, could be Parvo, could be stress,could be worms, could be digestive problems, could be they are really sick and need medical attention.
There's a lot of "could be's", you should get her checked out.