No, we do not support reading data from a network source. This is because the data transfer rates Serato DJ requires to stream audio live are very high and may exceed the data transfer rates that can be relied on when streaming over a network. This can result in both the audio and waveform dropping out, or issues writing or reading from files.
It may be possible to see your library if you have mapped your network share to a drive letter, but in a performance situation we always recommend that you keep your music files either on your computers internal drive or an high speed external hard drive.