You cannot select a block from within the table. What you can do, is hide portions of the data so you only see the data of interest. Then you can copy the rows you want.
This is made much easier by using Groups. Groups allow you to hide and show multiple columns at once.
This video the explains in more detail with a simple example:
Tips for Appending Blocks of Data
FYI — If you are moving a portion of data for plotting purposes, you can apply a Mask in a command. Then you may not need to move the data at all.
This page has a simple mask example …
How to select data
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