I'm doing ca and want to pursue llb in distance mode

there is no any institute which provide llb through distance mode

and if otherwise provide the it is not affiliated by bar council of india

dear friend the course llb is a profesnal course and this is always valid from institute of university that is affilated and permitted by ugc and BCI . 

if you want only degree  then Manav bharti university solan HP  is suitable for you