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

Here’s to get you started.

public class ModelDeserializer extends StdDeserializer<MyModel> {
    private static final 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:

public 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]}

ZonedDateTime or OffsetDateTime?
My result includes the time zone identifier (Pacific/Norfolk in my example, I know that you will choose a different one). If you want a result without the time zone (as in 2024-08-13T09:49:52.662+01:00 from your question), you should, all things being equal, prefer an OffsetDateTime over a ZonedDateTime. A IANA time zone, for example Europe/London or Africa/Lagos, represents all historic and known future offsets for that time zone, including but not limited to summer time (DST) transitions. Which is needed if you want to calculate, for example, 12 hours ahead of the given time in that time zone.