Is it possible to study CCNP self and do the exam??

It's possible to study ccnp by yourself.but you can pass it more easy with SPOTO practice.
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For sure you can study by yourself.

You can download CCNP ebook here http://tinyurl.com/lfg3lb

Perform some lab practise using GNS3 or other simulator.
If possible, read through question and answer in Cisco book.

hope this help.

Yes, offcourse but as concern with practicle side you should join Labs, or if you have CBT CD you can also learn yourself.