You can make one.
To do this you have to create a shortcut from scratch. If you find the game icon, right click it and send it to desktop, or if you have another game on your desktop just right click it and create a shortcut. Edit the name you want it to be.
Now you have to edit the directory and target. Right click the new shortcut, go to properties, under target directory add the lines below to suit your directory, I accidentally deleted bf1 so I created a shortcut from bf4 and renamed it then edited the path the same as the bf4 or any other origin game,
looks like this:
Remember, you need a shortcut to start with, so right click whatever you want the icon to look like and you can edit the icon also, but that's another forum.
D is where I installed the games, yours will either be C: or whatever you did.
Note: I changed installation paths and stuff like that, so yours will most likely be:
C:\Users\[yourname or computer name]\Origin\Origin games and so on.
If all else fails reinstall, but it takes a while to download.