Yes you can! However, if the said diabetic (type 1 or 2) is taking insulin for control they must comply with 391.46.
To work with Moose I offer you the Federal Register specifically for Drivers with Diabetes Federal Register :: Qualifications of Drivers; Diabetes Standard and the 391.46 THIS ONE WILL answer your question. If you do not have the free Adobe PDF Reader, find one and pull it so you can do this. http://www.diabetes.org/assets/pdfs/living/know-your-rights/cdl/fmcsa-final-rule-new-part-391.pdf Without going off the deep end on this subject there is a special type of Coma that threatens some diabetes people. My father has type two. Who is not to know I will develop it someday. If you get this type of coma coming on at interstate speeds and 40 ton 18 wheeler, you are going to kill and hurt so many people. BE VERY careful and think this through pertaining exactly to your exact diabetes situation.
The FMCSA and most of the states have determined that little debbie has been banned from being in a truck.
For the record lets not get lost in the types of diabetes. I am a type 2 diabetic that requires insulin for control. In fact, you can be disqualified to drive with type 2 taking pills if you don't have control. 391.46 is not a snap to comply with though. The FMCSA is wanting diabetes under control. I asked my doctor about 391.46 some time ago. He told me that he will not even consider signing off a trucker until they have no higher than a 7 A1C.