I'm really into finding late-round picks myself so I spend a lot of time going through late rounders.
From my personal experience, no. Key positions like WR/RB/TE/CB/FS/SS all have speed issues that are deal breakers. You might find a FS/SS with a good zone coverage with low speed that you might be able to live with.
If you're looking for late round steals then I would suggest looking more towards DE/DT positions. That is where I nailed my little gems as they have fewer deal breakers, along with there always being a ton of them left on the board. That being said, I recommend against it. Other than franchise-player type draft picks for my o-line if you wait till the pre-season and a few games in teams are always cutting hot-shot d-linemen. You can picks guys up real cheap for a season. That's what I do for depth, saves a ton in cap that way.
TL;DR: no.