Is it normal for teeth to be a tiny bit loose? i can wiggle some them if i push on them hard enough.

Tooth Mobility: Teeth are not like poles set in concrete. Although teeth and their roots are hard and the bone that supports them are hard, the periodontal ligament is a group of specialized connective tissue fibers that essentially attach a tooth to the alveolar bone. This allows for some minor tooth movement which is normal. However, periodontal disease can also cause teeth to be loose & at your age unlikely.

Perfectly Normal: Teeth are anchored into the bone by a periodontal ligament. This ligament forms a "shock absorber" for the teeth. At your age I would not suspect periodontal disease, but it would be prudent to have regular dental exams and cleanings to maintain optimum oral health.

No: Mobility caused by periodontal disease resulting in bone loss, or from malocclusion producing untoward forces on teeth, or from systemic disease such as Diabetes damaging bone, or from parafunctional habits. Have you brought mobility to your Dentist's attention? Referral to a Periodontist and/or Orthodontist may be in order.