@nil1950 First off, the blog with the reblogged article is not the same as the one you gave a link to in your first post here. This is the one you gave a link to:
http://webytrons.com/ and that is self-hosted.
The one that has reblogged your post is this:
and they are quite within their rights (unfortunately) to reblog any post on any wordpress.blog without asking. A lot of us are not happy about that policy but there's nothing we can do about it.
So, to answer your original question - if a blog can be a professional and commercial site just for promotion with very little blogging apparent except my reblogged post.. The answer is yes. It can. If it's been set up as a blog, which this one has, and yes it IS on wordpress.com, it can reblog. It can also be set up to look like a website.
You've been here three years, but most of the people who ask questions on this forum haven't - the most usual questions here are from new bloggers so we respond this way. Sorry if it sounds patronizing, that's not our intention. I've been a volunteer on these forums for a couple of years, and auxclass is an older-hand than me.
As I don't know if you've read this page or not, here's another link:
If the blog had reposted the entire post, that would have been a different matter, but it didn't - it just used the reblog feature. There is correct attribution.
Oh - and with the reblog feature, as you'll discover when you click that link and read the full info about it, it doesn't need your approval before it appears. I can see it. Anyone else will be able to see it too.
If you don't want your posts reblogged then the only alternatives are to make your blog private and invite the people who you want to read it, or to move to self-hosting where you'll have more control.