Draw a 4" block based on C90 minimums. Then place your rebar in the center of the wall. It's a very thin wall, so you'll probably need more steel than you would have in a 6 or 8 inch block, so call it a number 6. What is your clear grout space? Now look TMS 402/ACI 530. What is your maximum lift height for fine grout? Now consider that your input parameters assume perfection. Most block manufacturers don't manufacture to the minimums. The closer they get to the minimums, the more chance they have of some blocks being less than minimum coming out of production, thus more waste. Also, the thinner the block is, the higher the chance they break during handling or shipping. So they balance the economy of avoiding waste product with avoiding waste in overuse. So that just reduced your space inside the block. Then think about the mortar protrusions at every joint. They're going to stick into the block a good ways. I've seen protrusions on 8" block that got in the way of rebar, so just imagine what will happen if they do that in a 4". And then who's ever seen a bar in masonry placed perfectly vertical? Even with bar holders, they're always going to be a little off.
All of this just says what I already said - you physically can't do it in the real world. The code doesn't tell you not to put a 1" bolt through a 1/2" hole, but I doubt you'd tell a contractor to do it on your drawings.