I had Schengen student visa in Spain (D) but I lost it and now I want to apply with my new passport to a tourist visa for different countries in schengen zone because I can’t travel, is that possible?
Yes you can, because you lost your passport. If the passport is found and the Schengen visa is still valid then you cannot apply for another Schengen visa.
However it is better to call and ask the country you visit under Schengen Area.
The rule concerning overlapping Schengen visas is only valid for tourist (C) visas. What long-term (D) visas you might have at the same time is irrelevant and in fact you can be in possession of several long-term Schengen visas at the same time.
So go ahead and apply for a tourist visit.