No, of course not. If you'd watch the episode where Elle is shot, toi would realize that her father had past away. She dreams about him as she floats in and out of unconcsiousness. What would even make toi think that Gideon was her father?
She does call him dad but not in "derailed", although it is on a train that's not the name of the episode, its the one right after in the first season. Maybe she's adopted? She doesn't montrer up at Gideons funeral later when he dies par the psychotic birdmans hand. Though she is on the run.