An accurate enough way is to use the millis() function. It will return the value in milliseconds since the start of the Arduino. If you start the Arduino at a specific time, you will be able to calculate the exact date and time.

Why not an external module?? An RTC such as the DS3231 in merely 5$ and it includes a temperature sensor for you!

An example how to use NTPClient is available at the projects github

#include <NTPClient.h>
// change next line to use with another board/shield
#include <ESP8266WiFi.h>
//#include <WiFi.h> // for WiFi shield
//#include <WiFi101.h> // for WiFi 101 shield or MKR1000
#include <WiFiUdp.h>

const char *ssid     = "<SSID>";
const char *password = "<PASSWORD>";

WiFiUDP ntpUDP;
NTPClient timeClient(ntpUDP);

void setup(){
  Serial.begin(115200);

  WiFi.begin(ssid, password);

  while ( WiFi.status() != WL_CONNECTED ) {
    delay ( 500 );
    Serial.print ( "." );
  }

  timeClient.begin();
}

void loop() {
  timeClient.update();

  Serial.println(timeClient.getFormattedTime());

  delay(1000);
}

Form what I found TimeRTC requires an external device called DS1307RTC to keep track of the time as shown in video here and with it we should be able to get the real time as seen in github example

#include <TimeLib.h>
#include <Wire.h>
#include <DS1307RTC.h>  // a basic DS1307 library that returns time as a time_t

void setup()  {
  Serial.begin(9600);
  while (!Serial) ; // wait until Arduino Serial Monitor opens
  setSyncProvider(RTC.get);   // the function to get the time from the RTC
  if(timeStatus()!= timeSet) 
     Serial.println("Unable to sync with the RTC");
  else
     Serial.println("RTC has set the system time");      
}

void loop()
{
  if (timeStatus() == timeSet) {
    digitalClockDisplay();
  } else {
    Serial.println("The time has not been set.  Please run the Time");
    Serial.println("TimeRTCSet example, or DS1307RTC SetTime example.");
    Serial.println();
    delay(4000);
  }
  delay(1000);
}

void digitalClockDisplay(){
  // digital clock display of the time
  Serial.print(hour());
  printDigits(minute());
  printDigits(second());
  Serial.print(" ");
  Serial.print(day());
  Serial.print(" ");
  Serial.print(month());
  Serial.print(" ");
  Serial.print(year()); 
  Serial.println(); 
}

void printDigits(int digits){
  // utility function for digital clock display: prints preceding colon and leading 0
  Serial.print(":");
  if(digits < 10)
    Serial.print('0');
  Serial.print(digits);
}

If what I understand from your code you are actually not using any RTP or NTP. You are only creating a Time object with no values and you read it default values.

Check some more examples here