Imagine yourself on Lisa's shoulder. You can only mention what she sees hears feels etc. and experiences through her own senses.
Unless she can see it or hear it, or is otherwise aware of it, you can't mention 'it' - no matter what it is.
Is she aware Joe is chasing her or racing to keep up with her? If she is, (1) is okay. If she isn't, you can't mention it until she
is aware of it.
(2) is wrong from her POV - she cannot be aware what Joe is frantically trying to do unless she is psychic or has eyes in the back of her head.
By-the-by, POV issues have nothing to do with Grammar or Syntax.
ok, thanks. Her's an example. This is from Lisa's pov:
which is better?
1.Lisa raged through the sky, her vision blurred with tears. She didn’t slow down a bit while Joe raced to keep up with her. She hovered above Rachel's house long enough to let Joe catch up. Then they dropped to the ground.
2. Lisa raged through the sky, her vision blurred with tears. Joe frantically raced to keep up with her. They hovered above Rachel's house and dropped to the ground.