Can I move applications from mar to another Mac?

yes.

Transfer files between two Mac computers using target disk ...

With the release of macOS 10.15 Catalina, applications will have to be 64-bit. App developers will issue updated apps if they want their apps to work on this newest macOS upgrade

32-bit app compatibility with macOS ... - Apple Support

https://support.apple.com/en-us/HT208436

Check Your Apps and Prepare for a 64-bit World

https://www.stclairsoft.com/Go64/index.html

There are other options.

—File Sharing

Share files on your Mac with other devices - Apple Support

—From a backup and using migration assistant.

How to move your content to a new Mac - Apple Support