Not currently, and that’s why you don’t see any fully DIY .223/5.56 rifle designs. Making a safe and accurate barrel for a cartridge with a CIP maximum chamber pressure of 430 MPa requires extremely precise tooling that is capable of working very strong steel alloys. Keep in mind that you’re also going to need a set of headspace gauges (that’s another $100) in order to ensure you have the chamber cut to the correct depth for your bolt. There’s a reason why this kind of work is typically only done by professional gunsmiths – one needs to produce several barrels to amortize the cost of training, tooling, and testing (expect to ruin 2 - 3 barrels while you are getting your process perfected).

I don’t know what you’re trying to build, but if you’re in a place where you can purchase chamber reamers and rifling buttons, I would think just buying a barrel for a fraction of the cost would be a better solution. If you must go the DIY route for some reason, I really think pistol calibers rather than rifle would be a better fit for your knowledge and budget. Pistol calibers open the door to barrel manufacture by electro-chemical machining which is dramatically cheaper than mechanical methods.