Possibly, but it's not a great PSU.
Gigabyte's units are CWT or Andyson units, and not great to begin with.
Supposedly 38A on the 12V rail. So 456W.
I wouldn't be confident in that unit and, for the money, there's certainly better options.
That unit is ~$69 in the US, $65 in Austalia - and those are the only two regions I can find it for sale.
Given that's more than a CX550(M) or, in some cases a TX650M both from Corsair - I don't see any reason to even attempt to run a 2070 on it.