Yes. Anjana devi used Audumbara leaves to fan Him when He was injured. In Lanka, Sita too gave him Audumbara leaves when his tail was burning. In Lanka, Hanuman was amidst two fires- one was the scorching heat of the Sun and another was the fire set to his tail by Ravana. He was tormented due to them both. At this time Mother Sita gave him a mantra which helped him cool down.
During Narasimha incarnation, Mother Goddess Lakshmi also give Audumbara leaves to Narasimha Swamy who was suffering due to intolerable heat. For this reason, Lord Maha-vishnu, Lord Hanuman and Lord Datta always reside in Audumbara tree. It is a divine celestial tree. It grows quickly. It is a very powerful tree. Touch the tree and circumambulate around it when you visit it.
Datta is Maha-vishnu. Maha-vishnu is Rama. As such Hanuman who is a devotee of Rama is also a devotee of Datta. This is because Datta and Rama are one and the same. All are same.
All Gods are same. But small drama they are enacting through their different forms. For instance, both the hands belong to you. But the role of right hand is different from that of the left hand. They appear different. Each finger has a different role nevertheless they belong to the same body. There are so many sense organs but all pertain to the same body. Likewise, Hanuman and Rama all same.
(Q&A Trinidad 22nd July 2018)