Yes, if you are a relatively young person who has no serious health problems and you have no reason to believe that you may have gallstones.
You can always start with a smaller amount, like 1/4 cup of oil with 1/4 cup of fresh juice , and if that feels ok, few days later you can start with a larger dose.
Consider it like drinking a salad dressing ... it is just a food, nothing special.
People are not afraid to eat one whole pizza that contains more fat than liver flush, but are often afraid to drink oil. Paradox!