I feel your pain. I was not able to get a Fidelity 1099 to import either. It looks like it's not just a Fidelity problem. There are users with different financial institutions having similar problems(looking at the other help request messages). I think my problem is a large number of 1099-B transactions and I actually got a popup error message for 1099-B import failure.  Unfortunately, none of the 1099s were imported, even though I received the "Success!" screen. I ended up doing the manual entry for 1099-B totals. This is in

What if I can't import my 1099?

I don't have a good answer. The import feature worked in previous years, but my 1099 was simpler.

I'd try turning off the popup blocker on your default browser. 

Some other message threads suggest going directly to the 1099-DIV or 1099-INT pages to start the import. This did not work for me.