There are instances where such freedoms are granted to individuals while on private property. However, it is limited to specific circumstances and only when a specific jurisdiction's laws require it.
Quickly looking this up brings me to the supreme court ruling, Pruneyard Shopping Center v. Robins [1], which involved laws that were specific to the state of California.
Notably, the applicability of this ruling was narrowed over time. Despite this, it has been brought up as an argument in situations with circumstances that differed from those of the original ruling, where questions of its applicability can be easily raised.
[1] https://en.wikipedia.org/wiki/Pruneyard_Shopping_Center_v._R...