patricej

yes. if you trim the pieces as shown in the templates it will all work out nicely.
the "trimmed" bits actually make it easier to line up the pieces accurately.
the seams at the Y-intersections do not run all the way to the end of any of the pieces, so there won't be gaps where the seams come together.

if you're making one block, it's worth taking the time to mark where seams should start and stop.
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if you are making more than one block, you will very quickly get sick of all that tedious marking.
so, just mark the first of each piece that will intersect at a "Y".
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as you sew, pay close attention and make sure to stop on the mark or just before the mark.
then put down a piece of tape or a sticky note. use that as your reference to the stopping point for all repetitions of that pair of pieces.
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you will notice that i didn't worry about starting the seams on this pair set at the 1/4" mark.
that's because that is not where a Y-intersection will occur.
but i did make sure to end the seam at the mark; do either a lock stitch or a bit of back-stitching; raise the needle; move the next pair up to the needle; lower needle & foot; resume sewing.
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you don't have to chain-piece.
you can certainly do one pair at a time if that works better for you.