There are many natural massage oils you can use. Sunflower oil, almond oil, coconut oil, jojoba oil and many more.
I'm not sure i understand your question tho, could you be more specific?
I doubt permanent harm, but if it has heating herbs such as tumeric or peppers or cinnamon and the like they will of course burn if you rub your eyes with it. You'd have to mention the ingredients for a better answer, however. You could also find an ayurvedic practitioner and ask.