Yes, the hub is identical
Same 4x108 PCD and same 65.1 mm centre bore: wheels from Opel Corsa E bolt on and centre on Opel Crossland X 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 Opel Corsa E is compared with the one from Opel Crossland X 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 ET39 · 185/65R15 — Risk of rubbing
Compared with the original 6.5Jx15 ET20 on Opel Crossland X: shock absorber side +12.7 mm, wheel arch side −25.4 mm, tyre diameter −2 % : fit it with the original tyre size of Opel Crossland X (195/65R15), not that of Opel Corsa E.
Check in detail
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≈6Jx16 ET38 · 195/55R16
Opel Crossland X has no 16-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 Opel Crossland X (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 Opel Crossland X on Opel Corsa E?