
Is it okay to write fake exp in resume if you have the skill?

It's totally fine. As long as you have the knowledge and ability to learn things quick. When ever you get a job they will give you lots of KT and one week to understand the project. So don't worry if you have the skills but haven't worked on them in real project. You can learn them while working.
@MichaelScottt can be extremely risky if u are joining top MNC org. They hire consultants for employee backgrounc check and verify. One of my friend joined samsung and his ex-employer refused to recognize him as an ex-employee due to some personal matters b/w them. After joining samsung, they fired him within a month as soon as they received report from consultant.

No. If you get offered the job, background verification will f you up.

Do HRs enquire about project or skills during BGV?

You just need that confidence 😜