create an statically linked executable from a dynamically linked executable and its dependencies

Take cat as an example, if I do ldd $(which cat), it shows

linux-vdso.so.1 (0x00007fff8afbb000)
libc.so.6 => /lib/x86_64-linux-gnu/libc.so.6 (0x00007fb3102dd000)
/lib64/ld-linux-x86-64.so.2 (0x00007fb310524000)

Is there any way to bundle the cat binary and these three so files, so that it become statically linked? My purpose is to use it inside a container.