Yes, but if the above ground pool water is higher than the equipment a flow switch part number 004-421-3824-00 must be used for the Ultra UV2 unit and an inline pressure side Mazzei injector part number 004-402-3873-00 would be needed for the ClearO3.   The pump and filter on an above ground vinyl pool may have to be replaced to do an adequate job for water turn over.

1. Run times are related to the total gallons of your pool and influx of debris. This becomes more complicated with multi speed pumps.   Most pool professionals agree that at the very least 1 turn over a day and up to 1 ½ turnovers a day in warm weather or high usage.  There are conditions that will require more run time. Many pumps today show GPM flows on the on the pump control pad or phone app at the rpm they are running at. If you do not know the total gallons of your pool multiply the length times width times average depth times 7.5 (L x W x avg depth x 7.5) = total gallons.  If you have an in-floor cleaning system, the GPM when the pump is running is approximately 65 GPM alone not counting water feeding other water features, spa over flows and other items that may be running at the same time.
2. The Paramount ClearO3 will sanitize 50,000 gallons in 8 hours and the Ultra UV2 on a one lamp unit sanitizes up to 48 GPM., 2 lamp unit up to 80 GPM., and the 3-lamp unit (must have a minimum of 2 ½ inch plumbing going into two inputs and out of 2 each outlets) up to 120 GPM.
3. The above run times are general guidelines. There are always exceptions to run times; water temperature, weather, bathing load, and landscaping. The run time will need to be adjusted up or down to meet these variables.

If you are truly allergic to Chlorine you can use other products such as minerals or other chemical that treat the body of water. The Clear O3 and / or the Ultra UV2 dramatically reduce the chlorine needed to the pool and you can keep the count as low as .3 to .5 parts per million however keeping it low requires that it be checked daily.  A 1 to 2 parts per million will be a more manageable number. If you have stabilizer in the water, the chlorine will only be used as needed to handle new bacteria, algae spores, etc. If you have ozone that burns up the chloramines (the bad chlorine that makes you itch, have red eyes, and smells bad).  The UV is the Sanitizer and kills or makes inactive 99.9% of bacteria, algae, and viruses.