A well system can include an inflow control device which resists flow into a tubular string. A selection from among multiple different flow resistances through the inflow control device can be performed in response to pressure manipulation. An inflow control device can include a piston which is displaceable to at least two positions. Flow through the inflow control device is permitted at a certain flow resistance when the piston is at one position, and flow through the inflow control device is permitted at a greater flow resistance when the piston is at another position. Fluid which flows through the inflow control device can be constrained to flow through an increased number of flow restrictors in response to displacement of the piston from the first to the second position.