Not in any myth, no.
Athena
She endowed his creation, mankind, with reason. She also helped to sneak him into Olympus so he could steal fire for mankind.
Prometheus, the good titan.
prometheus
The motto of Prometheus Society is 'Fire tests gold'.
Fire is in the keeping of Hestia, and when it is considered that Prometheus gave fire to man, and what man has done with fire; it should be clear that Hestia needs no weapons.
Athena
Prometheus was a Titan, who were generally around before most of the Olympian gods. Does it really matter if he did it before Athena was born? Probably not. Did he? Probably.
Prometheus stole the flame of Hephaestus and Athena from Olympus. Zeus took action on their behalf.
prometheus made man and gave humans fire. for giving humans fire he was punished (although Athena helped him steal fire she was not punished)
Homely, for Hestia was guardian of the home and family. Bold, for Hestia vowed upon the head of Zeus to remain a virgin, turning down marriage to Apollo and Poseidon. Honorable, for Hestia was born first, and so liberation in thanks to the gods at feasts were given to her first and last; the hearth and fire of home and city were hers.
She endowed his creation, mankind, with reason. She also helped to sneak him into Olympus so he could steal fire for mankind.
Prometheus, a Titan.
Hestia is the goddess of the hearth, which is a fireplace. She is also keeper of the hearth at Mount Olympus. One myth says that before humans had fire, Hestia looked after the flame for the gods. But Prometheus managed to charm her into giving him some of the flame to share with the mortals. Therefore, it makes sense that a flame would represent Hestia.
Prometheus, a Titan, stole fire from the Olympic gods and gave it to man.
Because Hestia is the goddess of home, hearth and fire and feasting.
Hestia would be related to fire because she is the goddess of the home and hearth.