Yes, yes yes!! I read a research study a while back that said that those who believed they had enough sleep actually were less tired through the day. I tell my students that all the time:

'How are you?'
'Tired!'
'Did you know that if you 'say' you're tired, you're more likely to experience tiredness! They've done studies which found....'

It certainly transformed how I got through the day - simply telling a different story about how much sleep I got made the world of difference. Love this post!