I don´t think so, maybe we should request a new feature for having a specific permission set for this.
What you could do is ask your network admin to block access to:
If you are retrieving Report from the web link/web applet you can do following.
After Putting the Report URL link into the Web Link/applet. Put following options.
Thus adding (&Option=r) at the end. can solve the issue as.
Option=rfd. states r=refresh, f=printer friendly, d=downloadable.