Do SUNY schools share application information?

Do SUNY schools know and take into account if individual applicants applied to several schools? One could imaging a scenario where a student applying to just one school is regarded different in terms of yield protection and admission than one who applies to several schools?

Couple of months later but…not necessarily @nypapa because students may apply to only one SUNY but tons of other schools. So there is no way to tell if someone who applies to a ton of SUNYS is more likely to take an offer from any SUNY than one who applies to only one (but to tons of non-SUNY schools).