Yes, but not ideal. 2nd or 3rd gen Intel is pretty out of date compared to an RTX 3060. If you are using a 2nd gen chip, then you only have PCIe 2.0. The GPU will still run, but have 1/2 the bandwidth if you have a 3rd gen chip, this will have an impact on performance.
You will also need to be sure you have a sufficient power supply to run the GPU. 8-pin or 6+2 pin PCIe power connector. If the PSU does not have these natively, it needs to be replaced before you attempt to run this GPU.
And lastly you have to have physical space for the GPU, measure the available area inside your chassis to be sure the GPU will fit inside without hitting something like a drive cage.