I'm thinking that the tsunami of replies indicates:
perhaps not.
I did find this Android app, though:
https://play.google.com/store/apps/details?id=com.cognaxon.WSQ_viewer
via that the same company produces a Windows SDK for converting to/from the format, so perhaps they have a Java SDK hidden somewhere too.
My original thinking was that my usual image catalog/view program that I've used for 15 years (ThumbsPlus) does everything I need, but it's so good that I haven't updated for ages, and it looks like the current version doesn't support WSQ anyway, so... nice try, no cigar.
Then I looked at
www.irfanview.com (is free) and their website there is a WSQ plugin available "WSQ - (version 2008.12.16): allows IrfanView to WSQ (Wavelet Scaler Quantization) files" and so you might be able to track something down via that.
I also found
https://www.xnview.com/en/xnconvert/ that advertises SDKs for Windows, Mac and Linux, and so that guy might be up for creating an Android version too.
But... why do you need it? Are you exchanging files with the FBI, or are you just using it because that's the standard that they use. Because WSQ is just an 8-bit grayscale with (minimally) lossy compression, and given today's larger storage options compared to the 1990's, PNG would be be a much more convenient, flexible and widely-supported format (and lossless to boot, albeit larger).