I do not know of any utilities to perform such a conversion. I'm not familiar with the .fit format, although I search on the web for information about it for a while. You will probably need to build a utility to do this. The .dat files can only be read by LabVIEW. You have to know what type of data you've stored in them when you read from the files, so it will be specific for every type of file you want to read. For example, you can't use the same program to read a .dat file which stored a waveform and one which stored an array. So, unfortunately, you'll probably have to build it yourself. If you get a chance, provide a few more details about your application and I may be able to help you out.
J.R. Allen