Yes — Entebbe is one of Uganda's safest and most relaxed towns, and the vast majority of visitors pass through without any security incident. The town has a calmer atmosphere than Kampala and a long history of welcoming international travellers through its airport.
Petty theft (bag snatching, phone theft) is the most common risk in any busy East African town. Keep phones off tables in restaurants, use a money belt in crowded areas, and avoid displaying expensive camera equipment unnecessarily. Use regulated taxis or the Uber/Bolt ride-hailing app rather than unmarked vehicles.
Night-time travel: the road between Entebbe and Kampala is busy at all hours and well-patrolled, but use a trusted driver rather than hailing informal taxis after dark. The town centre and lakeside restaurant strip are busy and well-lit in the evenings.
The UK Foreign Office, US State Department, and Australian DFAT all rate Uganda as generally safe for tourist travel, advising standard precautions. Always purchase comprehensive travel insurance before departure and register with your embassy on arrival for extended stays.
For the most current advice, check your government's official travel advisory before travel.