? I don't think I understand the question?
I assume this is a centrifugal pump? In which case yes, pumps can operate in any number of circumstances, one such "normal" operation is taking water under pressure (say, 10 bar) and spinning it up to 12 bar.
Hms is the suction head of the pump. I don't mean to sound pedantic, but do you know what head is? If you do disregard this next couple of sentences. Your 10 bar (~335 ft of head) is the height in feet that the water (or whatever medium, after accounting for SG) would rise to if you piped it straight up. The pump takes this water and spins it with the impeller, giving it a higher velocity. This higher velocity creates a vacuum between the faster liquid and the slower stuff at the suction port. This, combined with the pressure already imparted on the water at the suction (the 10 bar), sucks the water into the impeller to be propelled, continuing the cycle.
The energy imparted on the water by the pump results in a higher maximum vertical height, or head. Thus, higher pressure.