Disable media controls on iPhone lockscreen
Sorry to say, the answer is no. Although I don't find it intrusive to have the controls there, I wish that it wouldn't blur the background, too. The availability of the same controls in the Control Center makes it redundant.
If you press the home button, the controls will be replaced by the full-sized time and date. However, your wallpaper will still be blurry, unfortunately. This will also reset to media controls once the screen goes to sleep again.