Dear Student,
Glad to inform you that yes you can definitely pursue CA alongwith B.com side by side. Many students do this as this secures their career even if they aren't able to clear CA. You can do CA along with B.com correspondence or even regular one as there's no classes for CA you just need to give exams. But it'll be difficult to manage both together you shall do it only if you think you have potential for it.
Hope this might help you.