The new release contains an statically linked 64 bit version for linux, compiled under Ubuntu 14.04 64 bit:
https://github.com/gapcoin/gapcoin/releases/download/v0.9.2-rev2/gapcoin-rev2-linux.zip

There currently exist no documentation to compile Gapcoin (or Bitcoin) statically, at least none, I know of.
But it is very similar to https://bitcointalk.org/index.php?topic=149479.0 you just have to change some config parameters.
You also need to compile mpfr and gmp libraries.

If necessary, I could write a documentation to statically compile Gapcoin.