Yes, the hub is identical
Same 4x100 PCD and same 56.6 mm centre bore: wheels from Fiat Punto Evo bolt on and centre on Holden Barina 4 trou 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 Fiat Punto Evo is compared with the one from Holden Barina 4 trou 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 ET43 · 175/65R15 — Check on the car
Compared with the original ≈6Jx15 ET39 on Holden Barina 4 trou: shock absorber side +4 mm, wheel arch side −4 mm, tyre diameter −4.1 % : fit it with the original tyre size of Holden Barina 4 trou (195/65R15), not that of Fiat Punto Evo.
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 Holden Barina 4 trou (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 Holden Barina 4 trou on Fiat Punto Evo?