If you're using KineMaster 5.0 or higher, YES, you can copy a project from one device to another device, and continue editing the project on the new device.
When a project is exported on a device, no matter if it's android or iOS, a .kine file is created, and the .kine file contains all the media files and all the editing information and status. You can copy the .kine file to another device, no matter if it's Android or iOS, and import it. Once imported, you can continue editing the project from the status as it was exported on the source device.

If you are using a KineMaster version lower than 5.0, NO, you can't continue editing a project by coping it from one device from another device. You're recommended to use use Project Export/Import function after updating to KineMaster 5.0 or higher.