No, the updates stopped at El Capitan unfortunately. There is a way to force it to update to Mojave but I think couple hardware bits stop working(....camera?) and I'm not that bothered.
Don't get me wrong, I don't disagree. I just don't think it's worth my time to update it to watch YouTube and open BBC Good Food from time to time. The laptop never leaves the house, my assumption is that the attack surface for it is literally zero.