Litany of the Saints

[Becky]

No, per RM paras 40-42 of the Easter Vigil, the font can be blessed (and the Litany sung) whether or not there are baptisms.

40 (second part of)
'If the font is to be blessed, but no one is to be baptized...'

41
'The Litany is sung... '

42
'If no one is to be baptized and the font is not to be blessed, the Litany is omitted...'

[Southern Comfort]

Hare, are you sure?

It's been so long since I've not experienced a baptism at the Vigil, I can't remember but I suspect one still blesses water (and thereby the font).

And this is where the confusion arises. As alan29 mentioned, you can bless water for sprinkling without blessing the font. The blessing of font and blessing of water are two different things.