Definitely a nasty, invasive bush that spreads like wildfire!! Invasive species of honeysuckles usually have hollow pith in the center and the material is kind of spongy around this, at least on the stems that are large enough for arrows that is. Both may be deal breakers when it comes to making arrows. There are "native" species of honeysuckle out there but they are predominantly classified as vines, the invasive ones are typically bush type with erect stems like the ones in your picture some of which look "straight as an arrow" :-)