That's why Common Lisp is a standard and has different implementations.

ECL for example is called "Embeddable Common Lisp". https://ecl.common-lisp.dev/

ABCL is embeddable into Java.

LispWorks and Allegro CL can compile to shared libraries, which are embeddable.

SBCL, OTOH was not developed with the goal to be embeddable.