You should have no problem with the grapes (whole fruit) are allowed for everyone. (Side note keep meaning to bring a watermelon and see what TSA says).

I would email TSA http://www.tsa.gov/contact/index.shtm and ask your specific question and then print out the response. This is going a bit overboard I know but I find that TSA is so hit and miss with each airport doing things just a little differently.

A month ago I had a similar question see below for their answer:
Individuals are also allowed to bring more than 3 ounces of pre-mixed baby formula (in a liquid or frozen state), juice, gel or liquid-filled teethers, canned, jarred, or processed baby food into the screening checkpoint. These items must be declared to the Security Officers prior to entering the screening checkpoint and be separated from other liquids, gels, and aerosols.



Please note, special purpose water, such as NurseryŽ Water, is currently the only type of water permitted into the secured area, since it is intended to be mixed with baby formula. Passengers traveling with this type of product through the security checkpoint must:



* be accompanied by an infant or young child;
* declare it to the Security Officer prior to entering the screening checkpoint and prior to x-ray examination;
* inform the Security Officer that it is special purpose water; and
* open the bottle for additional screening, if required by a TSO.

Frozen gels and liquids are permitted if required to cool medical and infant/child exemptions. Frozen gels/liquids for any other purpose are not permitted.



We recognize that the information on our website is not all inclusive and that many passengers have additional concerns regarding traveling with items intended for use by infants and young children. Many of these concerns include how the current screening procedures accommodate the handling of essential food items passengers must carry onboard the plane for their children, such as breast milk, formula (to include related mixing products), baby food, and juice.