Here is your board:
https://www.gigabyte.com/Motherboard/GA-X58A-UD3R-rev-20#sp
And no you cant, if you used 1 minute and looked up your board you will see it does not have an M.2 socket that is needed for an 960evo.
Sure you can go and get an M.2 PCIe adapter and try it out, but ofc there is a chance it will not work.
Just go for any well known SATA SSD.
The speed difference in day to day usage is next to nothing.
And if you only play games, youtube, browse internett and have a normal usage overall then you will hardly see any difference from an M.2 NVMe disk compared to an regular SATA SSD.
You only "need" the NVMe drive if you move around very very large files or do content creations like Photoshop and working with big raw files, or you do video editing (again I will say it) with BIG files.
Normal usage you are normaly using 4k read / write and there the speed is almost similar.
So my advice to you would be to dont get the 960evo and just get a bigger SSD when it comes to storage.