As I said it is logically impossible in general, but you can perhaps restrict the problem to a practical narrower case in which transpilation is always possible.
I'm not sure what this means.
If you take some code that generates langX at runtime, and compile/transpile that code to langY, you get some langY code that generates the same langX code value. So you need a eval(langX) that can be invoked from langY. Given an X-to-Y transpiler available at runtime, you can create the needed evaluator by composing the transpiler with the langY's eval(langY) function, with ordinary function composition.
I may be explaining this poorly (or misunderstanding you?), but I'm quite sure about the conclusion I'm trying to express. As a concrete example, you can generate some TypeScript at runtime, transpile it, and pass it to the JS eval function. The transpiled-at-compile-time code halts iffi the pre-transpilation version would halt, as does the transpiled-at-runtime code. The transpiler never halts. https://stackoverflow.com/questions/45153848/evaluate-typesc...