Is it possible to go out of the country during summer break while training for the army/air force?
The Air Force Technical School Phase Program consists of five phases. As airmen advance in each phase, they are given more privileges. The Phase Program begins on the day the recruit arrives at the technical school and (in most cases) ends when an airman graduates technical training and proceeds to their first permanent duty assignment.
The standards are laid out in Air Education and Training Command Instruction (AETCI) 36-2216, Administration of Military Standards and Discipline Training. The directive allows technical school wing and group commanders to request a waiver of portions of these standards, to make them more strict.
While such waivers are rare, your particular technical school may have an approved one, and thereby the phase restrictions may be slightly more restrictive.