Dear @nakhgh,
It is not possible for you to change from a permit of subsidary protectuion to one of Blue Card. This is governed by paragraph 19f of the Residency Law:
https://***.gesetze-im-internet.de/aufenthg_2004/__19f.html
It states that a Blue Card (paragraph 18b section 2) cannot be issued to someone with subsidary protection.
However, it may be possible that you now or in the near future are entitled to permanent residency, especially as you say you were working while a student. The time spent as a student and the time spent in the asylum procedure are counted it towards the five years residency you require in order to obtain permanent residency (Niederlassungserlaubnis).
Here's some more information about this:
https://handbookgermany.de/en/permanent-residence
Best,
Éanna