As far as I know there is no reason why a T1 (or T2) could not take Ibuprofen - there are a couple of reasons why you can't take them given on the leaflets you get with them - such as already taking aspirin, or having things like kidney, heart or liver failure, and whilst diabetes is mentioned somewhere down the long list, I'm pretty sure that just as a fallback just in case - many things have that written on them.
I had some just yesterday