No, you can not completed Graduation in 1 year from UGC recognized university after having 3 years gap after 10+2, the minimum duration of for the bachelor degree courses is three years, and you need to give at least three years.

I don’t think there is any college offering 1 year degree course. You can apply for the diploma or any certificate course which can be done in one year, but these courses does not carry value equivalent to the degree courses.

You can apply for the following three year courses:

B.Com
BBA
B.Sc
B.E
B.A
C.A etc.