Yes, the hub is identical
Same 5x98 PCD and same 58.1 mm centre bore: wheels from Peugeot 807 bolt on and centre on Alfa Romeo 147 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 Peugeot 807 is compared with the one from Alfa Romeo 147 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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≈6.5Jx15 ET31 · 205/65R15 — Check on the car
Compared with the original ≈6Jx15 ET37 on Alfa Romeo 147: shock absorber side 0 mm, wheel arch side +12.4 mm, tyre diameter +4.2 % : fit it with the original tyre size of Alfa Romeo 147 (185/65R15), not that of Peugeot 807.
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 Alfa Romeo 147 (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 Alfa Romeo 147 on Peugeot 807?