Nope. They feed off of dead skin cells. Im 100%sure of that. And there's no available Non toxic bedbug treatment that actually works. The only "solution" is to remove them. Ie Kirby.
I worked for Kirby for 2 years. And it is the only thing on the market that actually gets them out.
And they aren't "visible" unless in large quantities. They look like dust. It's not a bug you can just see with the regular eye. You may have fleas from cats?
If you were close I'd let you use mine!
after re reading I am almost positive that you are dealing with fleas. They do feed on blood, they are visible, and they do grow in size when they have a good source of food.
youtube the opera show on bedbugs.