Is there a way to continue broken scp (secure copy) command process in Linux?

This is all you need.

 rsync -e ssh file host:/directory/.

If you need to resume an scp transfer from local to remote, try with rsync:

rsync --partial --progress --rsh=ssh local_file user@host:remote_file

Short version, as pointed out by @aurelijus-rozenas:

rsync -P -e ssh local_file user@host:remote_file

In general the order of args for rsync is

rsync [options] SRC DEST

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