Is there a blood sugar monitor that does not require blood?

Experimental! There are researchers and startup companies working on this, recently even Google has been developing a contact lens to measure the glucose via tears. There are a number of companies, several in Israel building devices to monitor blood sugar without blood. We do have FDA approved continuous glucose monitors which measure glucose in the interstitial fluid lying just beneath skin.
Not yet. Currently there are no glucose monitors that do not require blood samples except for the continuous monitors that some patients wear -- these are inserted under the skin for 3-7 days and continually measure the glucose in the tissue-the results are transmitted either to a receiver or an Insulin pump (if the patient is using one).