Is that possible to change any gamma distribution to $\Gamma(k=0,\theta=1)$

If a random variable $x$ follows a Gamma distribution $\Gamma(k,\theta)$, is it possible to transform the variable and make it follows $\Gamma(k=0,\theta=1)$, like we transfer the variable which follows a Gaussian distribution to Normal distribution through $(x-\mu)/\sigma$ ($\mu$ is the mean and $\sigma$ is the standard deviation)?

Many thanks.

(a) All normal distributions have basically the same shape: $\mu$ shifts position left or right, $\sigma$ shrinks or squeezes. So one can 'standardize' by transforming to get $\mu=0$ and $\sigma=1.$
(b) However, for the gamma family of distributions, $k$ is a shape parameter. Look at different shapes in Wikipedia article on 'gamma distribution'. Also, both parameters of gamma must be positive, so $k = 0$ isn't possible (unless you're using some kind of nonstandard parameterization).