No, Siebe. Attainment of a jhana is an anantariya kamma. It WILL lead to birth in a brahma realm.
However, if one loses that ANARIYA jhana before the time of the death, then he/she will not be born in a brahma realm. That means one’s mindset would have been corrupted.
– However, if that person is not able to get into jhana while on the death bed due to a physical problem (like pain due to an injury), that would not be a problem; he/she will still be born in a brahma realm.
Of course, an Ariya jhana will never be lost. Even then one may not be able to get into jhana while on the death bed due to a physical problem.
The best example is Devadatta. He had attained not only anariya jhana but also super normal (iddhi) powers. But he lost all that once he started planning to take the life of the Buddha, and ended up in an apaya.