What exactly are you asking?
Can it be done? Yes. Asterisktos did have a valid point.
Spending weeks going from one place to another, means you are either rich enough that you are not tied down by work and responsibilities, or poor enough where you don't have to worry about work or responsibilities.
There is a middle ground. You could be a weekend pilgrim. Travel to nearby monasteries and holy sites on the weekends.
It you truly have the need, you will find a way.
May God help you on your journey.