I do with no issues.

I purchased a small spray bottle (2 oz size) in the travel section at Walmart and use it for my glue spray [50/50 washable school glue and water]. It keeps just fine and the spray is small and controllable. It is not as sturdy a hold as straight glue, but if you are doing a small project {table runner, wall quilt, etc.} it is perfect. It will needle nicely for both hand stitching and machine - doesn't gum up the works.

I use Elmer's Washable School glue all the time. To hold pieces together to make perfect points, to hold binding in place when I roll it to the front for machine sewing, and to just keep fabric in place as I sew.
I have not used it to totally baste an entire quilt. I use a herringbone garment basting stitch and a ton of clamps on a big table.

Thank you, Madamekelly. That is exactly the information I was looking for. Now to get the pool noodles, a supply of glue, and a condiment bottle. Already have a lap throw size quilt ready, just putting off that dreaded sandwiching ordeal. So hope this works. Will post on my results.
Murphy

I think I Need to try this....

I didn't see anyone else answering this, so I will try. Most of us dilute the glue with water by at least 50-50. There is no need to spread it all over the fabric or batt. No need for spreaders either. I hold the bottle a foot or two above the area I want to glue and swish back and forth until that area is done. You can move quite fast if the glue is diluted. Make lines of glue three or four inches apart.

Then I use my fingers and spread it lightly. I just run around with my fingers to flatten it a little. I just want to get rid of blobs. This way it is less likely to soak to the other side.

Then put on the batt (or the top when you get there) and smooth it in place. Let dry or iron dry.

It is so much easier to quilt in your domestic machine this way. You may want to secure the edges first, as they may come loose with all the movement of the quilt during quilting.