The answer to your question is no. To advance the date forward, unscrew crown, pull it out one position, turn crown backward (counter-clockwise).
This is from the official Omega Operating Instructions, and I quote:
Calibers 1120, 2500, 2520
The crown has 3 positions:
1.
Normal position (wearing position): when pushed into the case, the crwon ensures that the watch is water-resistant.
Occasional winding: if the watch has not been worn for 44 hours or more, wind it up with the crown in position 1.
2.
Date setting: pull the crown out to position 2, turn the crown backwards and push it back to position 1.
NOTE: date-setting is not recommended between 8pm and 2am.
3.
Time setting: hours - minutes - seconds. Pull the crown out to position 3. The seconds hand will stop. Turn the crown forwards or backwards. Synchronise the seconds by pushing the crown back to position 1 to coincide with a given time signal.
Hope this helps
