Blogging is a great thing to get started at the online business world and naming your first/new blog is painful when you are looking to make it awesome, catchy, and brandable. There are few points that you should consider when choosing a name for your blog:
- Make sure its easy to spell
- Make sure its a unique and memorable name
- Use niche-relative words or your own name
- Check a blog name ideas list
As you asked a direct question, I will answer it with one word and its "YES", you can name your blog after yourself.