A student can only go for BA courses provided if he/she have passed 10+2 examination. Now as you didn't have qualified 10+2 then you aren't eligible for the course. As you have diploma you can join courses like BTech through lateral entry (if you have diploma in engineering) but you can't take admission to BA/BSc/BCom courses.
To know more about BA History visit the link below:
https://www.careers360.com/courses/bachelor-of-arts-ba-history
I hope this answer helps. All the very best for your future endeavors!
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