Yes, you can apply for the Master of Social Work (MSW) program at the Yashwantrao Chavan School of Social Work (YCSSW), Satara.
In India, MSW programs generally do not have a strict "upper age limit" or a restriction on "gap years," provided you meet the basic eligibility criteria. Since you have already completed a Post Graduation (2023), you far exceed the minimum requirement of an undergraduate degree.
No, Yashwantrao Chavan School of Social Work, Satara, does not offer Master of Social Work (MSW) in distance education. The institution only offers the MSW course in regular mode. The course is offered for 2 years with specialisations in Human Resource Management (HRM), Urban and Rural Community Development (URCD) and Medical & Psychiatric Social Work (MPSW). Around 60 seats are available for the MSW course at Yashwantrao Chavan School of Social Work.