The order of estimation

In stan, if the order of estimation is specified as in the image, is there any way to achieve that?


For simplicity, we will use the following example
1, σ|alpha,beta
2, alpha|σ,bata
3, bata|alpha,σ
I think the algorithm is as follows, but is such a representation possible in stan?

model {
  vector[N] mu = alpha + beta * x;
  y ~ normal(mu, sigma); 

This issue of order-of-estimation is specific to Gibbs sampling, which is not the same thing as the HMC sampling that Stan uses.


OMG, this elementary question was caused by my lack of understanding.
Thank you very much for your kindness.