Yes, the hub is identical
Same 4x100 PCD and same 56.1 mm centre bore: wheels from MG MG3 bolt on and centre on Mini Coupe 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 MG MG3 is compared with the one from Mini Coupe 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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≈6Jx15 ET45 · 185/65R15 — Check on the car
Compared with the original 5.5Jx15 ET45 on Mini Coupe: shock absorber side +6.3 mm, wheel arch side +6.3 mm, tyre diameter +2.1 % : fit it with the original tyre size of Mini Coupe (175/65R15), not that of MG MG3.
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 Mini Coupe (M14x1.25), 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 Mini Coupe on MG MG3?