I take Oxycodone 3 times daily for back pain. The dosage is 10/325 mgs., 3 times daily. Can this drug cause me to nun short of breath without much exersion, and still have O2 saturation levels above 92%?

I live at an altitude of 5,280 feet. I take 10/325 mgs. of Oxycodone 3 times daily. I am also on 3 Ltrs. of Oxygen 24/7. My saturation levels are usually above 90 % without the Oxygen, but, I am short of breath when I do simple physical activities. Can Oxycodone cause my Hypotension and shortness of breath, while still having a saturation level above 90%?