Yes, in one way.
Step 1. Obtain a Trapinch.
Step 2. Give Trapinch a Everstone.
Step 3. Level Up Trapinch to level 88.
Step 4. Take the Everstone From Trapinch.
Step 5. Level Up Trapinch to level 89 (It should ask to learn Fissure) (Trapinch should evolve).
Step 6. After Trapinch has evolved into Vibrava, Level Up Vibrava to level 90 (Vibrava should evolve into Flygon)
You now have a Fissure Flygon.
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Flygon doesn't naturally learn either of those moves.
With a TM.
No, Flygon cannot learn Dig by leveling up. You will need to use the TM to teach it Dig.
Flygon can only be taught Outrage through a Move Tutor.
no