Welcome to the forum, @SoLOLoquy . This is a great question and it comes up from time to time. The "legal-speak" can make it daunting to understand, so I'll help clarify it here.
Long story short: No, upgrading a component (such as a PSU) would not in and of itself void the warranty of the rest of your PC components. With that said, if your new PSU were to damage the rest of your system as a result of being insufficient, lacking protections (over-voltage protection, over-current protection, etc) or as a result of being installed incorrectly, then it would unfortunately void the warranty.
Long story long, I'll link to one of my other posts discussing this:
Now in this case, we are a retail store that specializes in selling computers and computer components. We understand our customer base is full of people that love to upgrade their systems and we even cater to that audience with the very products we carry on our shelves. We are not going to void your warranty simply because you decided to expand your systems capabilities as any of us PC enthusiasts would. We would only advise that you proceed with caution, consult our technical experts on advice prior to purchasing upgrade components (to ensure compatibility and minimize risk of damage) and if you are not confident with performing the installation without causing damage, utilize our installation services. If all goes right, the warranty for the rest of your system will remain intact. Just make sure you hold on to that original PSU in the event that you need to make a claim, as you'll likely need to restore the system to its original condition prior to bringing it in.
Hopefully this helps answer your question. If you need anything else, let us know!