This is definitely possible.
You can use the portable version of  Notezilla  from here: http://www.conceptworld.com/Notezilla/Portable
This is exactly as the installer version, just that it doesn't come with an installer. So you can run  Notezilla  from the extracted folder and the data is also saved in the same folder under the folder named Data.
- Go to the link above. Extract the .zip file into a separate folder.
- Exit existing  Notezilla 
- Run  Notezilla .exe from the extracted folder
- Right click on  Notezilla  icon and choose Sync and sign into your sync account (any one of the two) to download all your notes.

So basically, you can use 1 installed version and 1 portable version on the same system.
Or you could keep 2 portable versions in separate folders and remove the installed version completely.
Also, we have Android and iPhone apps for  Notezilla . You can use those to access your notes from your phone and sync your sticky notes automatically from your desktop.