Not quite. Tl;dr there are kosher categories that are likely to mean dairy free but Passover is a whole other thing. Kosher Pareve is the thing that means probably dairy free but check the ingredients. If it says kosher dairy it’s definitely not dairy free and don’t serve it to your dairy allergic peeps.

Disclaimer: I am not Jewish and my family members who are do not keep kosher, but we are label aware for a close friend who is observant and dairy allergic.

Longer: Passover is usually a meat meal for people who eat meat, so there will also be a lot of dairy free options for people whose observance include not eating dairy and meat in proximity. You’ll want to look for “kosher Parve” (this term means it doesn’t contain things considered to be meat or dairy according to Jewish dietary laws. Note that it is not synonymous with vegan bc it does not include things like fish) and check the ingredients list. https://www.kidswithfoodallergies.org/page/kosher-labeling-and-milk-or-dairy-allergy.aspx Kosher for Passover indicates it won’t contain leavened things, typically. Kosher for Passover matzo or pasta etc COULD contain wheat if gluten free is not specified. For more check out something like https://www.myjewishlearning.com/the-nosher/what-is-kosher-for-passover/