You will need third party solution if your Multi-Function Printer (MFP) does not support scanning capability to Office365.
There is actually another option, which is to use the Mapped Drive to scan/upload the content to Office365.
You can map a drive letter on your desktop to the SharePoint Online site where you would like the scanned image to be saved.
How to configure and to troubleshoot mapped network drives that connect to SharePoint Online sites in Office 365 for enterprises
If you are looking for a third party solution to scan to SharePoint Online, I can recommend Udocx (www.udocx.com), a software as a service that in addition to one click scanning converts the files to fully searchable PDF/A documents and allows for automatic integration into workflows.
Another option is our Scanning Enabler product
https://store.office.com/scanning-enabler-WA104344296.aspx. Just navigate to the SharePoint Store and add the App.