Are there any oils for aromatherapy that cause cancer?

Yes. Both lavender oil and tea tree oil can stimulate growth of breast tissue in men and women. A study published in the new england journal of medicine (feb 1, 2007) showed that both oils have estrogen-like properties. In young boys, repeated skin exposure caused breast growth. In the lab, the oils increased growth of breast cancer cells. Use of these oils on the skin should be limited.
Oils. There are some oils banned in aromatherapy. Some studies show basil or calamus are carcinogenic. These oils were found to be carcinogenic in high dosages over a period of months. It would be a good idea to more throughly research this topic as there is not many details out there.