Hi! I’m not an expert, but there is not a flying animation currently. (Vote here for one)
However, there’s a workaround, similar to driving or running/walking for a longer distance, typically you have to actually animate the OVERLAY in addition to the character. Here are two helpful resources for this:
As to the animation for the character, they could just be idle and you use spot directing to make them go offscreen (without the overlay stuff). Then use a different background or zoom to the other character in a different zone and use spot directing again to make them appear beside the other character.
You can also post in this open help thread for more specific advice!