Let's say that we have a gaseous or liquidus compound (I don't know if elements or compounds make a difference, take this as a thought experiment), and we have a tungsten or steel block that's 5cm (or less, you choose) thick. Is there any physical method for that gas or liquid to pass through that thick heavy metal block (not by drilling etc.)?
Physically yes, but it would take a very long time because a gas or liquid would have to apply an immense amount of pressure to get through that thick of a metal. If we take water for example, the pressure required to force water through a 5 cm thick steel block at room temperature is approximately 5.5 gigapascals.

It's important to note that gases and liquids are not able to pass through solid materials like a steel or tung
Or put it another way, is there any physically conceivable method for the gas or liquid to turn the tungsten or steel block into a gaseous or liquid form itself from the inside out?

This question was inspired by the "supercooler" concept. Is a supercooled state a solid under extreme temperature and pressure conditions, or it's still a liquid but with special properties, and can we achieve such extreme pressure and temperature in nature or in lab