Let's say Runway 16/34 used direction 16 for arrival and 34 for departure. Can the runway close 16 (arrival direction) and still working in 34 for departure?
I think your premises are wrong. If an airport has a runway 16/34 then either both landings and departures take place in direction 16 (runway 16 is open) or both take place in direction 34.
In most cases both directions are not used at the same time. Which direction is chosen usually depends on the current wind direction so planes depart and arrive with headwind (not tailwind). Which one is open (16 or 34) can change from day to day, even during a day. Usually one of the directions is used most of the time because the wind usually comes from a certain direction. For example, London Heathrow has two parallel runways and in approx. 70 % of the time the wind comes from the west (westerly operation). Hence, they use runways 27L and 27R most of the time for both arrivals and departures.
There are, however, runways that are restricted to either take-off or landings, like runway 18 in Frankfurt, for example (only for take off), or 07L/25R (only for landing). But again, 07L/25R means: either all planes land in direction (on runway) 07 (towards the east) or all land in direction (on runway) 25 (towards the west).