All coconut oils, refined or unrefined are generally edible, unless the label says that it's solely for skin care, hair care, body care and not suitable for consumption. This is especially true for the non-food grade fractionated coconut oil, which is a kind of refined coconut oil. And you shouldn't eat this coconut oil.
As for the rest such as the refined RBD coconut oil or the unrefined virgin coconut oil, it is definitely safe to consume them. The good thing about these kinds of edible coconut oil are that you can also apply them to your skin. You might want to go with the organic ones for peace of mind.
It's also worth noting that you can mix refined with unrefined coconut oil if you have both at hand. Why would you want it that way?
Perhaps you find that the unrefined coconut oil odor is a bit strong for you to consume by itself or do oil-pulling. And so you wish to mellow it to a milder level. Then you mix it with the odorless RBD coconut oil.
All refined coconut oils are a subset of unrefined coconut oil. For that reason, they mingle very well together.