Hi @Yohannes
The space could definitely be causing issues. Are you able to delete anything or offload any items to cloud or external storage so that you have some space freed up?
I also noticed you’re getting an error about an incompatible zip file. That could indicate something wrong with the files within. All Local really needs to import a site is a wp-content and sql. So you could try creating a new zip with just those and seeing if it will import. Otherwise I can provide some steps for a more manual import method, however if the disk still has no space available it likely will fail.