Yes, that's one approach, though it won't create individually trimmed clips in the bin and can prove confusing.
As noted above, one alternative...
Import the master clip to the bin (top-left) and select (highlight) it. Don't trim it.
Press <ctrl-C> Same as EDIT | COPY.
Click an open area of the bin.
Press <ctrl-V> Same as EDIT | PASTE. Make as many copies as you will be needing to trim.
Each numbered copy in the bin can then be individually trimmed with SET START, SET END, renamed if desired, and dropped onto the timeline.
And another method that also works well...
Place the master clip on the timeline and split out the desired sections. Drag each to the bin where they will be incrementally numbered. Hover the pointer over the bin clip if necessary to see the (1), (2), etc. numbers. The clips will vanish from the timeline.
Then drop the trimmed clips back into the timeline where desired. The individual clips will remain in the bin, so the result is much the same as the first method.