在Android 4.4.2上，您可以使用HttpURLConnection库来发送HTTPS请求。以下是一个使用HttpURLConnection解决问题的示例代码：

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.net.HttpURLConnection;
import java.net.URL;

public class HttpsRequestExample {

    public static void main(String[] args) {
        String url = "https://restcountries.eu/rest/v2/all";
        String response = sendHttpsGetRequest(url);
        System.out.println(response);
    }

    public static String sendHttpsGetRequest(String url) {
        StringBuilder response = new StringBuilder();
        HttpURLConnection connection = null;

        try {
            URL requestUrl = new URL(url);
            connection = (HttpURLConnection) requestUrl.openConnection();
            connection.setRequestMethod("GET");

            InputStream inputStream = connection.getInputStream();
            BufferedReader reader = new BufferedReader(new InputStreamReader(inputStream));
            String line;
            while ((line = reader.readLine()) != null) {
                response.append(line);
            }
        } catch (IOException e) {
            e.printStackTrace();
        } finally {
            if (connection != null) {
                connection.disconnect();
            }
        }

        return response.toString();
    }
}

请确保在您的Android项目中添加以下权限到AndroidManifest.xml文件中：

以上代码将发送一个HTTPS GET请求到指定的URL，并返回服务器的响应。您可以将此代码集成到您的Android应用程序中，并根据需要进行调整。