Yes. Italy carries a US State Department Level 2 advisory
("exercise increased caution") — the same as France, Germany,
and most of Western Europe — and the elevation reflects generic
European terrorism risk, not anything specific to Venice.
Violent crime against travelers is genuinely rare and Venice is
the calmest major Italian city on our catalog: there are no
cars, the police presence in San Marco is constant, and a
group can't easily get truly lost. The actual risk profile is
pickpocketing in San Marco / Rialto crush, slip-and-falls on wet
bridge steps, and the canal water itself.
On a Passports teacher-led trip, the group never crosses a
bridge except as a counted unit, the Tour Director runs a
pickpocket-and-water briefing on the first evening (no, the
students don't go in), and every hotel is pre-vetted for
24-hour reception and secure room storage. We operate a 24/7
emergency line out of Boston, keep parents on a daily-update
channel, and maintain English-speaking medical contacts at the
Ospedale Civile SS Giovanni e Paolo. For most teachers running
their first student group travel to Italy, Venice is the easiest
city in the country to chaperone.