It can always be done, but the pump won't be made to give extra fuel needed to run the extra air charge. I don't know how much boost would be safe to run on a NA engine though.
My understanding of a turbo system like that is you have an actuator on it so as boost rises, it increases the fuel provided to the injectors. There will be a limit of how much can be supplied by the pump though, so you may be adding more air, but no more fuel to give the extra bang that you're after.
Do diesels have issues of running lean like petrol/gassers do? if so, you could be having heat issues from running lean. My understanding was that they don't, but i'm in no way an expert on turbos.
I'm interested in seeing how you go though, i did want to add a hair drier to my Kubota V2203di to get that little bit extra out of it.