No they don't Hawg..... and if you look at the pics of Gen Crook and his guys.....doesn't look like many are wearing much of anything military provided, including the boots. Military issued wool clothing is not your best friend in the desert.
There are a few articles written about those boots. He may have traded his Trap Door for them. I doubt he had them before he surrendered. The Apache's traveled super light, covering as much as 75 miles a day on foot. So I'm sure there was no extra baggage. So my guess is that he got them at the Sutlers Store at Fort Bowie. Here's some info on the store which is visible in my pic to the right center.
https://www.loc.gov/resource/hhh.az0008.sheet?st=gallerySo he must have had valuables to trade.....
On another note....the pic of the site where what is commonly called the "Bascom Affair" took place, where Lt Bascom met Cochise in what was the start of the Apache war. It was amazing to stand there. There are cliffs all round the back (not in the picture) where the Apache's held the army down. Water was only a few hundred yards away..... but it would have been a deadly trip to the spring.