YES, you can ozonate oil with your ozone generator, but, depending on what you are actually wanting to do, it is either very easy or very hard to do. There seems to be two very different things that people are referring to when talking about ozonating olive oil:
Many companies talk about the ability to ozonate Olive Oil and produce a thick, creamy textured paste. Although it is theoretically possible to do so with a home ozone generator, in practice it's not going to happen quickly or easily, regardless of the claims of the manufacturer. And all you will probably do is waste your time and possibly burn up your ozone generator, or at the very least put a great deal of excess wear and tear on it.
It generally takes an expensive commercial grade ozone generator running continuously for a long time (weeks, not days) to thicken olive oil, so it's tough to get results with a typical consumer model, even with a 200 mg/hr output. Most of the inexpensive ozone generators being sold have an ozone output of less than 100 mg/hr, so they are not going to get anywhere close to doing the job.
The only real drawback to running a standard home ozone generator for many, many hours is the increased wear and tear on the pump and the actual ozone generator. If you over-do it, you can burn one or both out.
Just for fun, here are the typical instructions for producing Ozonated Oils. I they work for you please let me know:
When ozone is bubbled into olive oil for long periods of time the oil eventually thickens, holding the ozone in the oil. When kept refrigerated this gel will hold its ozone for years. Applied to the skin, it is beneficial for cuts, scrapes and burns, insect bites, rashes, eczema, herpes, etc., acting as a natural oxidant. To use this instrument for that purpose (if it has a timer) you will need to re-set the machine every time after it shuts off. This is an important safety device and is built into the instrument. To achieve the minimum concentrations for an effective Ozonated oil, you will need to accumulate at least 24 total hours of ozonation. This does not need to be done in one consecutive time-frame.