I have a land use raster and several points on the map with population data (# of birds, # of chicks, etc.). I'm looking for a tool that's able to see if there's a correlation between the land use that point falls on and the values of that point.
You can't "correlate" nominal data with interval/ratio data, but you can do tests of "association" like
chi-square (google "tests of association for categorical data"
Extract Values to Points (Spatial Analyst)—ArcGIS Pro | Documentation
will get the raster values into your point file then you can do the correlation with the extracted values
using a number of options
TableToNumPyArray—ArcGIS Pro | Documentation example in there
or more simply
Bar chart—ArcGIS Pro | Documentation
and other options (like exporting the table to Excel and doing it there or
SAS An overview of the SAS toolset—ArcGIS Pro | Documentation