Yes, the hub is identical
Same 5x114.3 PCD and same 71.6 mm centre bore: wheels from Dodge Caravan bolt on and centre on Chrysler 300M 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 Caravan is compared with the one from Chrysler 300M 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 ≈7Jx16 ET40 on Chrysler 300M: shock absorber side 0 mm, wheel arch side 0 mm, tyre diameter +3.3 % : fit it with the original tyre size of Chrysler 300M (225/60R16), not that of Dodge Caravan.
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 Chrysler 300M (Ecrous - 12x1.50), 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 Chrysler 300M on Dodge Caravan?