I have Shopping Cart system , with quantity of elements and the price of each one, I need each time to user update the quantity the line update and the total too
For now all the data are loaded from Laravel(backend), it's possible to integrate VueJs, and how ?
Put an empty array of items in your VM's data property then call a method that pushes an item into the array when a user clicks an add item button. Then use a computed property to calculate the total.
You could learn how to do it in 15 minutes by just reading the Vue docs. Vue is easy, just muck about with it.
Sorry if I came across as an arsehole but really, you've got nothing to lose by just playing about with Vue. It's not React where you spend a week writing code then another week looking at useless answers on EgoOverflow wondering why it doesn't work.
I know how to create a component, and fetch the data from an API using jQuery or Axios, but the shopping-cart is already done with Laravel/Blade. I know how to make to calculate the total using jquery, will take less then 15min, but I want to do it with VueJs, my problem is how to populate the products from blade directly(mean from the rendred view) without Ajax(may be the only solution ^^) only manipulating dom
You could get Blade to spew out a json with your items into the page and reference that from your VM. But my advice is to just use AJAX. I mean, why not?