Can gaseous hydrogen and gaseous oxygen be compressed without reaction?
The study Explosion Characteristics of Hydrogen-Air and Hydrogen-Oxygen Mixtures at Elevated Pressures includes data for pressures up to 200 bar.  

Data were collected for Hydrogen-Oxygen mixtures at both 20 and 80 degrees C at pressures ranging from 1 to 200 bar.  A high voltage spark was still needed to cause explosion.  

Storing a compressed mixture of hydrogen and oxygen still seems extremely unsafe to me.  I definitely wouldn't do it.