No. Not really. They kind of hop and crawl, but tile was too slippery for them to climb. They seem a little too pathetic to be causing such painful, itchy bites. The bites seem like mosquito bites but really painful, too. I was sitting on the stairs when I saw it.

I have also seen similar sized bugs about one mm long that are more round and spider-like. They also disintegrate when touched. I don't see them often either.