Yes — Kuching is generally considered one of the safest cities in Southeast Asia and a very comfortable destination for solo travellers, families, and first-timers to Borneo. Violent crime against tourists is rare.
The main risks are low-level: bag snatching and phone theft in crowded markets and along the waterfront esplanade after dark. Keep bags on the side away from traffic, use a crossbody bag or money belt, and avoid displaying expensive cameras or phones in busy bazaar areas.
In national parks, respect the ranger guidelines — never feed wildlife, stay on marked trails, and check weather conditions before setting out on longer hikes. Water crossing at Bako can be rough in wet season; the boat operators make a safety call daily.
Kuching tap water is generally treated but most travellers stick to bottled or filtered water. Standard travel vaccinations (hepatitis A, typhoid) plus a dengue-awareness regime (use DEET repellent, especially at dusk) are recommended. Sarawak is generally malaria-free in urban and tourist areas, but check current advice for rural longhouse stays.
Emergency number in Malaysia: 999 (police/fire/ambulance).