Ya very likely, I'll have to dig through my books and find the exact passages, one of them had some pretty good details regarding his self created deflection shooting method. Beurling did take the odd shot at long range, one which was observed by several other pilots was an 800 yard shot at a very, very wide angle, and just a quick burst connected with that target and downed it - that kill it said in 2 books really started to launch his rep as a great shot. After that it is accurate to say that he tried to fire as close to 250 as possible, as his method and convergence were optimized for that range.
The reverse is true too, he took some shots where he said the target literally blocked out the rest of the sky, around 50 yards, maybe even 30 in one case, the one where he famously described shooting the Italian pilot in the head in a white plain, to a crowd of about 10,000 shocked civilians.