Everybody should have the chance to build lego sets.
Everybody does have the chance to build LEGO sets, and there are many sets to
choose from. If you mean everybody should have the chance to build every set,
then that is impossible as LEGO / BL limit the number of copies of each set,
especially the BDP sets.
Although even if you have missed out on one of the BDP sets, you can still get
the instructions and collect together the parts and build it.