Is it possible to get element from HashMap by its position?

Use a LinkedHashMap and when you need to retrieve by position, convert the values into an ArrayList.

LinkedHashMap<String,String> linkedHashMap = new LinkedHashMap<String,String>();
/* Populate */
linkedHashMap.put("key0","value0");
linkedHashMap.put("key1","value1");
linkedHashMap.put("key2","value2");
/* Get by position */
int pos = 1;
String value = (new ArrayList<String>(linkedHashMap.values())).get(pos);

HashMaps do not preserve ordering:

This class makes no guarantees as to the order of the map; in particular, it does not guarantee that the order will remain constant over time.

Take a look at LinkedHashMap, which guarantees a predictable iteration order.

If you want to maintain the order in which you added the elements to the map, use LinkedHashMap as opposed to just HashMap.

Here is an approach that will allow you to get a value by its index in the map:

public Object getElementByIndex(LinkedHashMap map,int index){
    return map.get( (map.keySet().toArray())[ index ] );
}