IF you get the file from https://filezilla-project.org/, you are safe.
If you get filezilla from other site, maybe, could be infected.
Malformed FileZilla FTP client with login stealer
Beware of malformed FileZilla FTP client versions 3.7.3 and 3.5.3. We have noticed an increased presence of these malware versions of famous open source FTP clients.
The first suspicious signs are bogus download URLs. As you can see, the installer is mostly hosted on hacked websites with fake content
Malware installer GUI is almost identical to the official version. The only slight difference is version of NullSoft installer where malware uses 2.46.3-Unicode and the official installer uses v2.45-Unicode. All other elements like texts, buttons, icons and images are the same.
The installed malware FTP client looks like the official version and it is fully functional! You can’t find any suspicious behavior, entries in the system registry, communication or changes in application GUI.
The only differences that can be seen at first glance are smaller filesize of filezilla.exe (~6,8 MB), 2 dll libraries ibgcc_s_dw2-1.dll and libstdc++-6.dll (not included in the official version) and information in “About FileZilla” window indicates the use of older SQLite/GnuTLS versions. Any attempt to update the application fails, which is most likely a protection to prevent overwriting of malware binaries.
Edit August, 06 2014 : As rmflow say, SourceForge is not trusted source anymore, so I edit this to remove the reference