Yes, the hub is identical
Same 5x114.3 PCD and same 70.6 mm centre bore: wheels from Ford Edge bolt on and centre on Lincoln Aviator without rings. You still need to check the offset and tyres, detailed below.
≈: width estimated from the original tyre size.
Wheel by wheel: offset and tyres
Each original wheel from Ford Edge is compared with the one from Lincoln Aviator of the same diameter: how much closer the wheel gets to the shock absorber or how far it sticks out of the wheel arch, and whether the tyre keeps the same overall diameter.
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≈7.5Jx17 ET50 · 235/65R17 — Check on the car
Compared with the original ≈7.5Jx17 ET44 on Lincoln Aviator: shock absorber side +6 mm, wheel arch side −6 mm, tyre diameter −1.7 %.
Comparison for guidance only (estimated width). Check in detail
Before fitting the wheels
An identical hub is not enough: offset, width and diameter change the position of the wheel, and larger calipers can touch a smaller wheel. Original wheels often use bolts or nuts with a specific seat: keep the fixings intended for the wheel, with the thread of Lincoln Aviator (Ecrous - 1/2 - 20 UN), tightened to the torque shown on its vehicle page. Finally, check that the size is among the approved fitments for your vehicle. This comparison is for guidance only: have the fitting approved by a professional.
And the other way round: wheels from Lincoln Aviator on Ford Edge?