Yes. When you start updating, apt will first download all the files and only then start installing them (and even then it first checks out a few things). So if you cut off the download, the already downloaded files should stay in the cache and you should be able to continue from there. Yet again, if the packages seem to disappear, your settings tell apt not to keep cache on the disk; in that case you'll need to alter your apt configuration. But in a normal situation, yes, you can continue download when you want.
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