Yes, you can do a BA in English even if you passed science in high school. Most universities and colleges do not restrict arts and humanities courses to students from particular streams. The primary requirement usually is a minimum percentage in English at the 12th-grade level. Some universities might conduct entrance exams for admission too.
Science in high school will not be a disadvantage for you, but English literature and language studies will require a lot of extra effort. BA in English would cover literary analysis, creative writing, linguistics, poetry, and drama subjects that are way beyond your science background. If you have passion in literature, reading, and writing, then this is a great field to work in. Completing a BA includes numerous career options such as journalism, content writing, teaching, publishing, advertising, and even civil services. So if you are interested in English go for it!