Yes, you can upload files and let page visitors download them from your LandingRabbit site.
Any link, button, or image can become a link to your uploaded file.
Add a CTA button or edit an existing one
Click the three dots and choose the Upload tab 
Upload your file
Select text in any paragraph and click the link icon from the toolbar
Choose the Upload tab 
Upload your file
Add an image to your page
Open the page preview and hover the image
Click the Add link button
Choose the Upload tab and upload your file
The file URL includes your custom domain, and you can share the link beyond your website, too.