yeah sure ,you can give upsc exam, as the minimum height should be 153 cm for women and for men it would be 157cm..but friend only having height is not sufficient to give the exam
you should also reach the other eligibility like age ,physical standards(health,height,weight,eye sight etc),educational qualification
friend you had not specify your age not even your qualification,then how could we know which exam you are willing to appear for
but here are some options=
1)NDA EXAM=NATIONAL DEFENSE ACADEMY,CONDUCTED BY UPSC,HELD IN THE MONTH OF APRIL AND AUGUST
-Age=16.5-19 years
-should be 12th passed
-should be unmarried
-only males can apply for it
-should be mentally and physically fit and fine
2)CDS EXAM=COMBINED DEFENSE SERVICE EXAM,CONDUCTED BY UPSC,HELD IN THE MONTH OF APRIL AND SEPTEMBER
-age=19-23 years
-both men and women can give this exam
-should be unmarried
-should have finished the graduation in any subjects