Is R. Yosef Qafih's translation of the Chovos Halevavos available for free online (preferably as copyable text)?
No. Not at all.
But you can purchase the book from Makhon Mosheh in Israel. Their website is www.net-sah.org
If it is not online, then try calling or emailing them. Their site is currently being updated and is under a bit of minor construction.
I personally have it on my shelf. Is there a particular passage that you are looking for that I could post a picture of here? Let me know. I would be glad to help.
Since you asked for the comments on Astrology, I have posted a picture of that portion below: