
Almost never, and it matters that you not be sold otherwise. Once the root plate has rotated, the torn and severed anchoring roots do not reattach, and cabling or winching a mature tree back upright is not a real remedy at any size capable of reaching a house — staking is a technique for young trees. The honest options are removal, or, if there is genuinely nothing within reach and nobody goes near it, fencing off the fall zone and letting it be. Note the contrast: a long-standing lean with a curved trunk, a level root collar, and undisturbed soil is a completely different tree and is frequently fine to keep.
Treat this in hours, not days, for as long as the ground stays wet. Soil strength does recover as the site drains, so a tree that survives the storm is genuinely more stable next week than it is tonight — but you cannot bank on getting there. The most useful thing to do while waiting for a crew is to stop using the fall zone: move vehicles, keep people out of the rooms on that side of the house, and stay out from under it. A visibly increasing lean or a widening soil crack is the failure in progress. Do not lean a ladder on it, do not tie a rope to it and pull, and do not let anyone climb it — a tree on a moving root plate is not climbable, and any competent crew will bring equipment instead.