Hi, no, you cannot have neopixels without data cable. Those are addressable LEDs, and they require data signal to tell them which colors to light up, else they are dark without any input.
Maybe if you find white LED chips in the same format as WS2812/SK6812? But just powered by 5 or 24V and single light only. Alternatively there are Sequins, which are small LED boards available without RGB, but you may need a mount for those.
Also, if your wires break in chains, I'd rather address that. If one wire broke, chances are others may too. Is it a Formbot kit with their harness?