Yes it is - I have done it.
Create a category (or section) in joomla just for the blogs.
Then set up a new content type with jSeblod - with a specific action to post anything post with that content type to the blog category.
Give the form basic fields like:
title
Blog entry
There is a great community bulder plugin that allows you to create multiple tabs on a users profile that shows articles they have posted in specific categories. Install it - then call one of these tabs from the plugin 'my blog entries' or something like that. Set that tab to post articles that user has added to the category you created above for blogs.
You can also set up jcomments to allow other people to comment on the person's blog entries or not - by choosing that category as one people can comment on
Here is the communtiy builder plugin link:
extensions.joomla.org/extensions/extensi...uilder-authors/9849?
Hope this helps. Any other questions - please ask