If any program is capable of FW to FW2 conversion it would be Framework, from which these both format originate. Seems its databases used in different version of the program so it may be possible that newer versions still support the previous formats.
Convert Framework database to FrameWork database.
We have found one software suitable in our database for this conversion.
Microsoft Windows software - convert fw to fw2 on Windows
A unified computing architecture
Convert from fw file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.