With KineMaster 5.0 or higher, you can copy a project (and keep editing!) from one device to another.
KineMaster allows you to export your project as a .kine file, which contains project information and your media. When you transfer a .kine file to another device, you can import it into KineMaster version 5.0 and higher.
After the .kine file is imported, you can continue to edit the project or just export the project.
KineMaster versions below 5.0 do not have the ability to import or export .kine files. For this feature, updating KineMaster is required.