I've used this site for years to get great fonts and usually don't have any problems. However, today nothing will download. And I do mean download, not install. I'm running Windows 10 and Chrome browser. I found a font I want, but when I clicked the download button, nothing happened. Checked my downloads folder just to make sure, and no .rar or .zip file is there. It's like there is a block between my browser connecting to the download servers. To make this even more confusing, I opened up my Firefox browser (47.0.2) and the download buttons worked fine. Is there a problem using Chrome on this site?

No problem using Chrome on Dafont.
You probably have some weird Chrome extension that changes the behavior of downloadable links.