Yes, the hub is identical
Same 5x114.3 PCD and same 67.1 mm centre bore: wheels from Peugeot 4008 bolt on and centre on Hyundai Stargazer 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 4008 is compared with the one from Hyundai Stargazer 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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6.5Jx16 ET38 · 215/70R16 — Check on the car
Compared with the original 6.5Jx16 ET48 on Hyundai Stargazer: shock absorber side −10 mm, wheel arch side +10 mm, tyre diameter +11.9 % : fit it with the original tyre size of Hyundai Stargazer (205/55R16), not that of Peugeot 4008.
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 Hyundai Stargazer (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 Hyundai Stargazer on Peugeot 4008?