There are no such command in PROC LOGISTIC to check multicollinearity .
1) you can use CORRB option to check the correlation between two variables.
model good_bad=x y z / corrb ;
You will get a correlation matrix for parameter estimator, drop the correlation coefficient which is large like > 0.8
2) Change your binary variable Y into 0 1 (yes->1 , no->0) and use PROC REG + VIF/COLLIN .