So i have had a tooth removed and the tooth next to that socket feels loose, its not loose just shifting but if i would apply pressure and push my tooth could it become loose or not?

My recommendation would be to keep your fingers out of your mouth and allow the extraction site to heal. That tooth may be a bit loose from the procedure, but it will tighten up over time if you allow the area time to mend.

The process of removing a tooth involves a high probability that the adjacent tooth or teeth may me pressed against and loosened slightly. They will tighten up again. At your age it would be unusual not to have sufficient bone supporting a tooth, so I would take care of the socket the way the dentist instructed you and have them check the area at your next visit.

Fingers out of your mouth, please. They are not sterile, and you have an open wound. Sometimes adjacent teeth can be slightly loosened by the surgical procedure, but will tighten as socket fills with bone. Important to have the tooth replaced to prevent (look this up) posterior bite collapse.

It feels loose because the tooth next to was extracted. The tooth that was extracted gives support to the teeth next to it. Now that the tooth is missing, teeth on either side will start to shift and may feel loose. In order to prevent this problem replace the missing tooth with a implant or bridge. The longer you wait the more shifting will happen. Wear a glove when fingers in mouth.