Yes, the hub is identical
Same 5x114.3 PCD and same 71.6 mm centre bore: wheels from Dodge Grand Caravan bolt on and centre on Jeep Cherokee 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 Dodge Grand Caravan is compared with the one from Jeep Cherokee 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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≈7Jx16 ET40 · 225/65R16 — Fits like the original
Compared with the original ≈7.5Jx16 ET42 on Jeep Cherokee: shock absorber side −8.4 mm, wheel arch side −4.4 mm, tyre diameter −5 % : fit it with the original tyre size of Jeep Cherokee (235/70R16), not that of Dodge Grand Caravan.
Comparison for guidance only (estimated width). Check in detail
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≈7Jx15 ET40 · 215/70R15
Jeep Cherokee has no 15-inch original wheel in our data: check the approved fitments and caliper clearance.
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 Jeep Cherokee (M12x1.25), 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 Jeep Cherokee on Dodge Grand Caravan?