Yes, most adult dependents of Skilled Workers as well as international students and Health and Care Workers have the right to work in the UK without any work restrictions. The work options for dependents include full-time or part-time employment and self-employment and business establishment. Dependent visa holders do not require an additional work permit for their employment. The possibility to work is not available to dependents of temporary visa holders and visitors including short-term students. The specific work permissions available to you can be verified by UK Visas and Immigration (UKVI) through your visa grant letter.