Yes, there is a good chance that she is avoiding you. She may have just gotten bored with the routine.
Perhaps she feels that you have been too overbearing with wanting to play games with her and that has now made her hesitant to play with you.
It would be best to avoid continuously trying to get her to play with you. Just take a step back and stop trying so hard. She may eventually miss playing with you and may start sending you DMs asking whether you would like to play.
In other words, though you would still like to be this girl’s friend irrespective of whether she likes you romantically or not, just give her some space for now.