There are two kinds of PoE devices/ports: power-sourcing equipment/PSE (switches or injectors) and powered devices/PD which draw power from a PSE.
PoE devices come in three generations: IEEE 802.3af ("PoE") with up to 12.95 W delivery, 802.3at ("PoE+") with up to 25.4 W, and 802.3bt ("PoE++"/"4PPoE") with up to 51/71 W (two/four pair). bt devices are still somewhat scarce.
There are a few small switches with a PD port and some very few among them with PSE ports ("PoE pass-through"). Since each switch requires some power for itself, the pass-through capability is generally limited to two stages if you start with 802.at power.
As Ron Maupin already stated, chaining Ethernet switches is not considered good practice. Chains introduce multiple single points of failure, increase latency and constrict redundant linkage.
The 'natural' topology for Ethernet is a tree: a core switch where all access switches connect to, or - when more ports are required - a three-tier hierarchy with distribution switches between core and access. These topologies also much better support PD switches in the access tier.