No that's way more than a little tap to get it settled.
If it's that far forward, I would be wondering how far off the gas hole in the barrel is from the gas hole in the gas block.
You have to think looking at the pic, if it's that far off, the two gas holes are probably misaligned the same amount as the taper pins.
You could have issues with the rifle having enough gas pressure to cycle properly especially with a very short barrel like that will have very little "dwell time" of pressure to cycle it properly. Then you would be right back to square one with a glued on gas block or expensive clamp on type and you would still have to get the barrel shoulder milled back to line up the holes.
The reason the taper pins and holes are on the barrel is to make sure the gas block is indexed properly for sight alignment as well as gas hole alignment.
If you have calipers you take some measurements from the handguard cap to the center of the gas hole on the barrel as precise as possible.
Then measure the distance from the area where the gas block would contact the handguard cap to the center of the gas hole in the gas block. If they line up/if the measurement says they are lined right up then proceed with glueing, set screws etc to simply hold it in place.
But looking at the pics I'm going to assume that when you measure, you're going to find that the holes aren't going to match up.
Take the advice how you want Sir, but if that was my rifle, I would get the shoulder milled back the same distance you would need to make those holes line up, that would mean to me that the gas hole is then in line with the hole in the gas block. Most of the clamp on sights seem to run $100 or plus that I can find, would probably cost the same or less to get 0.19" or so shaved back on the barrel shoulder by a half competent machine shop to make the taper pin holes and gas holes line up perfect.
Then you could simply hammer in the taper pins and good to go!