If the PSU can't deliver the necessary power to all components, it can and will cripple the system and damage the components. In short, to an extent it can.
What are your full system's specs?
List them like so:
CPU:
Motherboard:
Ram:
SSD/HDD:
GPU:
current PSU:
Chassis:
What sort of a budget do you have to work with and where are you located? We'll also need to know your preferred site for purchase.