Can I award bounty to my self after self answering the featured question?
No, you can not award bounty to your own answer.
Documented at the help center:
How is a bounty awarded?
The bounty period lasts 7 days. Bounties must have a minimum duration of at least 1 day. After the bounty ends, there is a grace period of 24 hours to manually award the bounty. Simply click the bounty award icon next to each answer to permanently award your bounty to the answerer. (You cannot award a bounty to your own answer.)
For the detailed information, visit the FAQ: How does the bounty system work?:
Can I award a bounty to my own answer?
No. This used to be possible, but it has been disabled. The user would not get the reputation back, and the bounty will be displayed as +0, “this answer has been awarded bounty worth 0 reputation