Let's take this week for example. I know that I exist now on Monday, and that this coming Thursday won't begin all existence. Therefore Last Thursdayism for the future is disproved. This means that when I was born, my self evident existence disproved all future Last Thursdayisms for the rest of my life.
The counter argument would be everything could have popped into existence right now (or last Thursday), including my memories. But I know that this can't be the case for anytime in the future since I exist now, so if you were to tell me on Friday that I came into existence Thursday, it would have to be false.
I understand Last Thursdayism is a parody on creationism and isn't meant to be taken too seriously, but having said that, does my logic hold? This is strictly about Last Thursdayism and not about God or anything of that nature.