The answer is yes. However, I would caution against it. The reason is, when you use a free service, you don’t have as much control over your blog—the free service does. This can be risky, especially if you will rely on your blog for income. A self-hosted WordPress blog is my recommendation and can be started very inexpensively. See my step-by-step tutorial here.
I suppose I just don’t see why being DEVOID of a blog and social media will make you an attractive guest blogging candidate. I get that you’ll maybe be more focused on finding guest blogs rather than building up your Twitter following, but couldn’t you just ask easily say that we should focus on doing nothing but building followers on Twitter, because you can then build relationships and find guest posting opportunities through the people you meet in social media?
To all the bloggers out there…STOP sucking up to the very small, elite and narcissistic group of self-proclaimed influencers out there. If you all stop treating them like they’re special, they will not longer by special and therefore some of us who aren’t in there secret society will be seen as knowing what we’re talking about too! This isn’t High School, grow up and read someone else’s blog already!