The question is, are sewing and weaving the same thing?
Ask any craftsperson, and likely the answer will be No. You sew woven things together.
From Dictionary.com
Sew:
-
to join or attach by stitches.
2.
to make, repair, etc., (a garment) by such means.
3.
to enclose or secure with stitches:
to sew flour in a bag.
4.
to close (a hole, wound, etc.) by means of stitches (usually followed by up).
5.
to work with a needle and thread or with a sewing machine.
Weave:
-
to interlace (threads, yarns, strips, fibrous material, etc.) so as to form a fabric or material.
2.
to form by interlacing threads, yarns, strands, or strips of some material:
to weave a basket; to weave cloth.
3.
to form by combining various elements or details into a connected whole:
to weave a tale; to weave a plan.
4.
to introduce as an element or detail into a connected whole (usually followed by in or into):
She wove an old folk melody into her latest musical composition.
5.
to direct or move along in a winding or zigzag course; move from side to side, especially to avoid obstructions:
to weave one’s way through traffic.
6.
to form or construct something, as fabric, by interlacing threads, yarns, strips, etc.
7.
to compose a connected whole by combining various elements or details.
8.
to be or become formed or composed from the interlacing of materials or the combining of various elements:
The yarn wove into a beautiful fabric.
9.
to move or proceed in a winding course or from side to side:
dancers weaving in time to the music.
(several of those definitions are abstractions of the original meaning of making fabric)