Development has been leaded by many factors, despite democracy and/or governance. Democracy does has effect on development, but at which level that may modified by various other factors. On the other hand, good governance, accountability, transparency, integrity also drives the national development in a positive manner.
Most people would likely answer yes—and probably flag documents such as the Asian Development Bank's policy paper of 1995 titled Governance: Sound Development Management (see https://www.adb.org/documents/governance-sound-development-management). However, everything depends on how one defines and measures "development".
Until the 1980s, traditional welfare economics focused on income as the main definition and measure of development; thereafter, studies showed that that poverty involves a wider range of deprivations in health, education, and living standards that are not captured by income alone. From the late 1990s onward, many in the footsteps of Amartya Sen have argued that, in development, freedoms constitute not only the means but the ends. Increasingly, development is judged by its impact on people, not GDP per capita or in toto, not only in terms of changes in income and other measures of poverty but more generally in terms of choices, capabilities, and freedoms as well as the distribution of such improvements. Surely, good governance—that can hardly exist without some form of democracy—has a role to play in this.