PSU make and model (or part number) is? Also, was the PSU bought new or used/refurbished?
But short answer is: No.
For RTX 3060 Ti and while factoring in GPU transient power spikes, 650W PSU would do.
Btw, what the rest of your hardware is? Since when you have 100+W CPU, then PSU wattage would go up to 750W unit.