adb backup that operates similar to dd Do adb backup methods contain those that operate similar to how dd backups data? So I want to know if adb backup method that hard-copies every bit of disk exists.

If it does not exist, is there any way to do things similar to what dd does?
dd is a block-based copy tool -- it doesn't care what data it covers. adb backup is rather file-based, which is something completely different.

As you've tagged your question backup, you might follow that tag to its tag-wiki, which gives you some insight into available backup methods. You will quickly see the one coming closest to dd being Nandroid, which copies entire partitions. Though you cannot restrict it in the way you can with dd, you could still take its resulting files, copy them to your Linux computer, and use dd to work on them.

One tool not mentioned in this tag-wiki is dd itself. You could check with a terminal editor whether it's present on your device -- chances are good: I just checked with one of my extracted Nandroid backups, and found dd as a symlink in /system/bin, being a symlink to /system/toolbox. If you cannot find it, but your device is rooted (which I assume, as otherwise dd wouldn't make much sense), you could look for a BusyBox which brings it along.