Short answer: yes, and no, it's not extremely rare.
There are some mistakes in your examples that are unrelated with the question. Acabarse is a pronominal verb, i.e. it looks like a reflexive verb but it isn't, and in your examples it's not passive voice. Also, estar + participle is not what we usually call "passive voice", although it is a passive construction. And finalizado means "ended", not "finalized", and because finalizar is most commonly used as intransitive, it's a bit awkward to find it in a passive construction.
But yes, there's nothing against using subjunctive mood together with passive voice. They are independent from each other. So you can say:
- Si este árbol fuera talado, no tendríamos más sombra. ("If this tree were cut down, we would have no more shade.")
- Si se talara este árbol... (same as above)
- Una vez que sea resuelto el problema, hablaremos de nuevo. ("Once the problem is solved, we will speak again.")
- Una vez que se resuelva el problema... (same as above)
- Espero que el resultado haya sido chequeado cuidadosamente. ("I expect the result has been carefully checked.")
etc.
In examples like the ones you thought up, though, one would rather use different combinations of tenses for the main verb and the subordinate verb. If you say Me gusta que... then you mean you like something that has already happened, so the subordinate should be in pretérito perfecto compuesto. This complicates things a bit. Using the two forms of passive voice you have:
- Me gusta que todos los coches hayan sido vendidos.
- Me gusta que todos los coches se hayan vendido.
If you want to say that would like something to happen you'd say Me gustaría que... plus a subordinate in the present tense. With passive voice this would be:
- Me gustaría que todos los coches sean vendidos.
- Me gustaría que todos los coches se vendan.
This has to do with keeping a correct temporal sequence. It isn't influenced by the choice of active or passive voice.
