no, and he's said that exact thing many times.
But I don't think Skubal ever had a shot at the complete game even if he hadn't given up the hit - he knew there was a shot so he said he started pushing harder to get there - but you can't do that, which is why he was gased at the end of his outing. If you think you have a shot at a no-hitter if anything you want to try to stay even and let it come to you - especially in this era were just getting to 9 is going to be a huge extra effort.