The startup Omni has taken an unconventional approach to storage. Rather than holding clients’ camping gear or old strollers in traditional storage units, the company also gives customers the option to rent out their gear to other peers through the platform.

In keeping with its nontraditional business strategy, Omni raised $25 million in new funding with a twist. The funding includes a Series B round of venture financing from Highland Capital Partners as well as a partnership and strategic investment made by blockchain financial...