Yes you can copy object from one file to another file, if all the Dimensions and Measures exists in the new file then the chart will load, otherwise you need to need change the dimensions according to the new file. You can just copy and paste using Ctrl + C and Ctrl + v.
Yes Jesus, it possible. But make sure you have similar column names in both the documents for which you are trying to copy. You can either right click on the sheet object/chart and say copy to clipboard->object and paste it or the regular Ctrl + C and Ctrl + V will work.