Mu'tasim
No; Mu'tasim is not a Quranic name but is attested in historical chronicles and biographies.
The most famous bearer is the Abbasid caliph al-Mu'tasim (al-Mu'tasim bi-llah), who reigned from 833 to 842 CE.
Literally it conveys 'one who seeks protection or clings' and is associated with seeking refuge (often in God).
It is uncommon today; its use is mostly historical or literary, though some families choose it for historical resonance.
There are no widely attested, commonly used feminine forms historically; any feminine derivative would be formed by regular Arabic feminine patterns but is rare in sources.