Seema, correspondence and Distance learning are the same. Which means you do not attend college in person but you study from the comfort of your house and earn that degree. So you can pursue your Bachelor's degree and Junior Basic Training both through Correspondence should you fulfil their eligibility criteria. You haven't mentioned in which subject you want to pursue your Graduation but for pursuing Junior Basic Training, you should have completed your 12th or equivalent with a minimum aggregate of 45%. Now admission to JBT is through Merit is 12th and relevant State level Entrance examinations. But because you want to pursue JBT through Distance Education, you needn't appear for any entrance examination.

Hello seema,

Yes you can definitely do graduation correspondence along with jbt, as jbt is a diploma and not a degree so you can do your correspondence degree and diploma at the same time.
One can puruse the diploma and correspondence degree in india together.
Hope this helps, all the best!