It not recommended for long term storage , but for the short term.. I would do it and in fact have done it. I would just make sure it was not packed in/on a high humid day. If you have concerns about the humidity.. you can purchase those silicone packages , the type you find in new shoe boxes, to absorb the humidity.
Another alternative is to make a decorative pillow case for the quilt . It would serve as wrapping , plus the storage would breathe .. and the recipient would have a pillow case.