It is totally up to you that for which subject you have to give GATE, and you can change this every year. So, if this year or in 2023 you opt for Computer Science and Engineering, and you do not get satisfactory results, then in the next year of 2024, you can definitely attempt the GATE in Biomedical Engineering paper without any restrictions.

So essentially you can give gate in Biomedical Engineering in 2024. Hope I have answered your question. All the best!