Answer
No
Work Step by Step
We know that
$E=\frac{hc}{\lambda}$
This can be rearranged as:
$\lambda=\frac{hc}{E}$
We plug in the known values to obtain:
$\lambda=\frac{6.626\times 10^{-34}\times 2.9979\times 10^8}{1.478\times 10^{-18}}$
$\lambda=1.344\times 10^{-7}m=134.4nm$
As $134.4nm$ is the longest wavelength to remove an electron ans 225 nm has less energy to ionize the gold, so it can't ionize the gold.