How would I create a custom deserializer for Jackson for this?

Here’s to get you started.

class ModelDeserializer extends StdDeserializer<MyModel> {
    ZoneId assumedZoneId = ZoneId.of("Pacific/Norfolk");

    public ModelDeserializer() {
        super(MyModel.class);
    }

    @Override
    public MyModel deserialize(JsonParser jsonParser, DeserializationContext deserializationContext)
            throws IOException {
        JsonNode node = jsonParser.getCodec().readTree(jsonParser);
        ArrayNode array = (ArrayNode) node.get("timeOfAcquisition");
        LocalDateTime ldt = LocalDateTime.of(array.get(0).asInt(),
                array.get(1).asInt(), array.get(2).asInt(),
                array.get(3).asInt(), array.get(4).asInt(),
                array.get(5).asInt(), array.get(6).asInt());
        MyModel model = new MyModel();
        model.timeOfAcquisition = ldt.atZone(assumedZoneId);
        return model;
    }
}

The basic trick is to read the array of numbers from the JSON as an ArrayNode and pass each of the 7 elements as int to LocalDateTime.of(). You will want to add validation that the array has length 7. And substitute the time zone where your JSON comes from. Also I am leaving to you to extend the code to handle the case where time zone is included in the JSON.

I have assumed a model class like this:

class MyModel {
    public ZonedDateTime timeOfAcquisition;

    @Override
    public String toString() {
        return "MyModel{timeOfAcquisition=" + timeOfAcquisition + '}';
    }
}

To try the whole thing out:

        String json = """
                {
                    "timeOfAcquisition":[2024,8,13,9,49,52,662000000]
                }""";

        ObjectMapper mapper = new ObjectMapper();

        SimpleModule module = new SimpleModule();
        module.addDeserializer(MyModel.class, new ModelDeserializer());
        mapper.registerModule(module);

        MyModel obj = mapper.readValue(json, MyModel.class);
        System.out.println(obj);

Output from this snippet is:

MyModel{timeOfAcquisition=2024-08-13T09:49:52.662+11:00[Pacific/Norfolk]}