Yes — Asmara is widely regarded as one of the safest capital cities in Africa for tourists. Petty crime such as pickpocketing and bag-snatching is extremely rare, the city is well lit, and solo travellers (including women) generally report feeling comfortable walking at any hour. Locals are notably respectful and curious rather than pushy.
The main considerations are political and logistical rather than street-level safety. Eritrea maintains a high military presence and photography of government buildings, military installations, and uniformed personnel is strictly prohibited and can result in detention. Travellers should carry their passport and visa at all times.
Outside Asmara, a travel permit (issued by the Ministry of Tourism) is required for virtually all destinations and must be arranged in advance. Some border regions — particularly near Ethiopia and Sudan — carry elevated risk due to historical conflict and ongoing tensions; check your government's current travel advisory before departure.
Medical facilities in Asmara are limited; comprehensive travel insurance including emergency evacuation cover is strongly advised.