Speaking to Siliconera, LKS producer Yoshiro Kimura hopes that you do.
We are planning to make a sequel to Little King’s Story, like Super Little King’s Story, but we’re still in the process idea phase. [...] Right now, we’re trying to get funding and trying to find new partners, meaning that Little King’s Story wasn’t developed by one development company, it was developed by different people.
Those studios being Cing (of Hotel Dusk fame), Town Factory and Marvelous.
Hey, you know one way to drum up funding for a sequel? Having a bunch of people buy the first game. So, yeah, go do that if you want a sequel.