HLM is not a program, it's an organization of training. Typically on HLM we are looking at 1x/week progression on the main lifts with a light and medium day to promote recovery, prevent detraining without adding new stress.
Can you make 2x/week increase your lifts? My guess is YES. You just need to eat in a way that supports a rigorous barbell program. You can't do SS for 1.5 months and gain no weight