Can a binary buisy-box as it's own dynamic loader?

[bcsgh]

The README.md mentions binaries with dynamic dependencies having a hard dependency on /lib/ld-musl-<arch>.so.1 because "the dynamic linker is hardcoded into the binary". But what would happen if /proc/self/exe was used for that hard coded path? Would there be any way to have a binary function both as a normal executable and as it's own dynamic linker?