Hey @Eileen_Dancho,
you can definitely achieve setting all this up in Asana. If you need assistance you might want to work with an Asana expert to help you set up everything the way you need it so it works for all the workflows you require. Because construction projects can be really different from case to case.
It depends on a lot of factors and requires background knowledge on how things operate atm, which parties are involved, how they operate, what steps do you handle, any steps you don’t handle but still have to factor in, and a lot of more information required in order to help setting up a proper structure in Asana with Project templates, Asana team/s, custom fields set up, rules, task templates and much more.
Here is a small example for a process of “cutting, painting, assembling, installing a product” and monitoring the hours allocated and hours consumed.
There are various templates and tips for different processes which you can use as guidance and then tailor everything to your needs.
Yes you can have one project where all tasks of all projects are tagged under, then you can see the process of everything. Similar to the set up I suggested in the other link I posted above.