Yes, the hub is identical
Same 5x114.3 PCD and same 60.1 mm centre bore: wheels from Toyota GR Yaris bolt on and centre on Toyota Yaris Cross 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 Toyota GR Yaris is compared with the one from Toyota Yaris Cross 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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8Jx18 ET45 · 225/40R18 — Risk of rubbing
Compared with the original 7Jx18 ET50 on Toyota Yaris Cross: shock absorber side +7.7 mm, wheel arch side +17.7 mm, tyre diameter −5.2 % : fit it with the original tyre size of Toyota Yaris Cross (215/50R18), not that of Toyota GR Yaris.
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 Toyota Yaris Cross (M12x1.50), 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 Toyota Yaris Cross on Toyota GR Yaris?