You can definitely become a teacher after 10th science. For being a teacher you need to complete your graduation in any subject as per your interest such as Mathematics, physics, Chemistry, Zoology etc and after that you have to complete the BEd course in order to be eligible for being a Primary level teacher. If you want to go for a High school teacher, then you need to complete the MSc course followed by BEd.

Also in India, there are many institutes which offers the Integrated course of BSc BEd or MSc BEd and if you do that, then you will get the degree of BEd along with it which will result in saving some time for you.

For more information regarding BSc consider the link below:

https://www.careers360.com/courses/b-sc-bachelor-of-science

For more information regarding BEd consider the link below:

https://www.careers360.com/courses/b-ed-bachelor-of-education

For more information regarding BSc BEd colleges Dual degree consider the link below:

https://www.careers360.com/courses/bsc-b-ed-dual-degree

I hope this helps. Wish you a great eve!