sure you can:

    $ cat hello.c
    #include <stdio.h>

    int main() {
        printf("hello world!\n");
    }
    $ gcc -o hello hello.c
    $ ldd hello
            linux-vdso.so.1 (0x00007ffff9da0000)
            libc.so.6 => /lib/x86_64-linux-gnu/libc.so.6 (0x00007fed449d0000)
            /lib64/ld-linux-x86-64.so.2 (0x00007fed45000000)
    $ gcc -o hello hello.c -static
    $ ldd hello
            not a dynamic executable