Can I do BCA without mathematics and with arts background?

You may not meet eligibility criteria in majority of universities because of non Maths on your 12th class. You can apply in IGNOU for BCA which allows non Maths students in BCA. Such students will be required to take addition subjects of Maths during BCA.

First of all congrats for completing 12th standard. Any stream student can do BCA after 12th. In many universities it is compulsory to have maths but in some universities it is not compulsory to have maths in 12th standard. But in BCA there is maths subject. All the best.