Yes you can definitely pass CA Foundation exam by self study. As per the paper pattern , there are only four papers in CA Foundation exam-

Paper 1 - Principles and Practice of Accounting
Paper 2 - Business Laws and Business Correspondence and Reporting
Paper 3 - Business Mathematics, Logical Reasoning and Statistics
Paper 4 - Business Economics and Business and Commercial Knowledge

All the CA Foundation study material is also provided by ICAI to help students prepare well for the exam.

If you still need any help, then ICAI also provides free of cost classes for CA Foundation students.