You can do that, but ties will probably re-create again due to constant interaction and emotional exchange.
If this person is negative, as I understand, you would need to distance from that person to do the cutting connections Meditation.
It would work anyway, but I think a strong Aura of Protection and limited interaction will prevent strong ties to form again.
Anyway, it depends on how the detached person will react, if he/she is a psychic vampire, will try to create ties again by harassing you in crazy ways.
If one day you leave and still want to cut ties I recommend being very sure and even asking your guardian if it's the best thing for you to do, especially if the person you lived with is your mother or father. This meditation should not be taken lightly.
For now, if you are still living in that person's house and depending on them, I don't recommend doing it, try cleaning their aura or even applying one to make things calmer. You also can try this : Thread 'Blessing for the Home by TGAI'