Java Extracting out Initializing private fields of a class

Is it possible to solve the following problem using inbuilt Java API? (I want to retain the strict private access as shown)

1. I have n subclasses of an abstract class BaseModel.
2. Each of these subclasses declare their own set of private String fields.

3. Within the subclass constructor, I wish to set the private fields from a Map using Java Reflection. An example of this function:

   void setPrivateFields(Map<String, String> fieldsValuesMap) throws NoSuchFieldException, IllegalAccessException {
       for (Map.Entry<String, String> entry : fieldsValuesMap.entrySet()) {
           String fieldName = entry.getKey();
           String fieldValue = entry.getValue();
   
           Field field = this.getClass().getDeclaredField(fieldName);
           field.set(this, fieldValue);
       }
   }
   
   

4. Is it possible to extract out the function I have described in 3) such that I do not have to rewrite the algorithm in all the constructors of the subclasses?

   class BaseModel {}
   
   class Project extends BaseModel {
       private String name;
       private String type;
   
       public Project(Map<String, String> fieldsValuesMap) {
           setPrivateFields(fieldsValuesMap);
       }
   }
   
   class Task extends BaseModel {
       private String description;
       private String rawDescription;
   
       public Task(Map<String, String> fieldsValuesMap) {
           setPrivateFields(fieldsValuesMap);
       }
   }
   
   class SubTask extends BaseModel {
     ...   
   }
   
   ...