That’s absolutely not true.
Valving back the output of a centrifugal pump (i.e., increasing static head) does no harm to the pump. It can even be fully dead-headed without damage -- aside from potential overheating due to lack of flow to dissipate heat.
Increasing head doesn't increase pressure in the pump; it simply moves the operating point left on the curve. The pump actually does less work because it moves less water. In fact, it's often operating closer to its best efficiency point (BEP) when slightly valved back, rather than running wide open.
At BEP - the pump is moving the most water per watt consumed -- thus running cooler and typically with less vibration or noise.
This is fluid dynamics 101 :)