Yes, you can. Smart Issue View for Confluence is designed to effortlessly handle such a transition. You don’t have to recreate already embedded issues. More importantly you don’t have reauthorise the plugin to be able to see the issues.
The procedure is very simple:
Go to your Confluence https://[your-account].atlassian.net/wiki/home
Choose Apps
» Manage apps
from the upper menu
Find Smart Jira Issue for Confluence LITE
and expand it
Press Uninstall
button and follow the instructions
Then, click the Apps
dropdown again and choose Find new apps
Search for Smart issue view for Confluence
and click on the app tile
Click Try it free
to start installing your app