Since he was son of wind god,(Vayu)it must not be impossible for him to fly. The reference Uttra Kanda of Ramayana mentions fly jumpers when translating the word plavangama and uses the word plavana (Floating) to describe Hanuman's movement in the sky. read more
Yes, according to all the scripture related to him, he can fly. Pavan Deva (God of air and atmosphere), helped Anjana Devi conceive Lord Hanuman. He carried the power (Tej) of Lord Shiva, in form of a fruit, to Anjana. After eating this fruit , Devi Anjana was able to conceive. So, Pavan dev considers Lord Hanuman is son. read more
Hanuman flying with Sanjeevani boti Some of the scholars came to the magical figure of 660km/hr which is 30 % higher than the highest speed of wind ever recorded. Story of lord Hanuman Since he was the son of Vayu(Deity of wind), he had the power of flying since his birth. read more