In principle, this is possible. The procedure of Pvt ltd registration is not complicated. You need to familiarize yourself with the provisions on the websites of government agencies. But it is worth considering that if you make mistakes in the applications, you will receive a refusal, and you will have to re-submit the documents again. In any case, the state fee is not refundable.
Legislation is constantly changing, and you need to track these amendments in order to comply with them. Reaching a qualified attorney will help save time and nerves and do everything right the first time.