Can I transfer reopen status visa?

Feb 13: Case Was Reopened For Reconsideration

Feb 14: Case Was Approved

Feb 14: Case Was Reopened

I got a FT job offer, and am confused if I should transfer it or not…

You should wait for the physical copy to arrive and take a decision based on what was sent to you from USCIS. The latest letter from USCIS is your final status on petition.