Can I delete StoreData found at /private/var/log/powermanagement/StoreData?
Answers to your questions as follows:


Yes, you can safely remove the /private/var/log/powermanagement/StoreData file as suggested. If you're overly concerned about it, feel free to just make a copy of it first before trashing it. 

Note: You'll be prompted for an Admin password before being able to move it to Trash.
No, deleting the file will not cause any problems for your system.
No, you do not need to recreate the file.  It'll automatically be recreated again when needed. In fact, the system will most likely recreate it within a few minutes of you trashing it.