When a new system is being planned, several types of feasibility study are carried out to decide whether the project should go ahead, and each type asks a different question. Technical feasibility specifically asks whether the proposed solution can actually be built using the hardware, software, skills, and technology that are currently available, or that can realistically be acquired, rather than requiring technology that does not yet exist or is beyond the organisation's reach.
Asking whether a problem can be solved within the user's own environment relates more closely to operational feasibility, which considers whether the solution will fit into existing work practices and be accepted by the people who must use it day to day. Weighing whether the expected benefits are worth the cost of implementation is the concern of economic feasibility, which focuses on cost and return on investment rather than on whether the technology itself exists. Considering whether a solution might cause social problems falls under a social or ethical feasibility assessment, examining the wider impact on people rather than the availability of technical resources.
The word "technical" in technical feasibility is the clue to hold onto: it always points toward questions about available technology, tools, and expertise, not toward cost, user acceptance, or social consequences.