They do not contain latex, however because they are made with a product of a similar nature you may have the same reaction that you would to latex. If this occurs you can send them back for a refund.
No these should be worn when your are lying or sitting only. You would want to try our yoga sandals item 94-0505 they work the same way but would be able to be worn during yoga.
Thank you for your question. Please contact us directly at productspecialist@gaiam.com if you have a question that is not answered in the product details.