nitrite is at 5.0
nitrate is between 5.0 and 10
If you have a nitrite reading like that you should be doing large water changes daily even twice daily to get it down, to answer your original question, NO your tank is not cycled, the ammonia and nitrite need to be reading 0 within a 12 hours period for a fish-less cycle, within a fish IN cycle they need to be reading 0 all the time, once this happens then you are cycled
The nitrate reading is a positive sign to say the actual nitrite is been processed, keep up with water changes and keep monitoring