If you can sew, you can certainly learn to crochet. First learn how to make a starting chain. Then the first basic stitch (sc - single crochet) is just a small step away from that stitch. Once you can do the sc, the other stitches are basically just adaptations of that one. Get yourself a skein of pretty "worsted weight" yarn and a larger hook - size J is good for learning. With this, you can make an easy neck scarf. It'll go quickly and because it's gonna be scrunched up anyway, will hide any irregular stitches.
