Probably not. The internet is not connected to your files, so deleting them wouldn't be helpful.
However, some tips to help with your connection problems...
1. Switch companies. I use XFINITY home for my phones, internet, and TV.
2. Clear your browser history. It will help by deleting all the info it stored in you History section. The speed may be faster now.
3. If you use a laptop, either buy a new modem , or reset it. This helps alot when I have connection problems, too.
4.A new browser. I used to use IE9, but it was slow so I switched to Google Chrome. I believe it works on all platforms, like Mac or Linux as well.
Hope these tips helped!
-Ryan