A family of Microsoft word processing software products for creating web, email, and print documents.
There's not really any way to do exactly what you want. Given this table:
If you select cells 7 and 8, right click, and choose "Delete cells," you'll get this dialog:
If you choose "Shift cells left" (the default), you'll get this:
If you choose "Shift cells up," you'll get this:
Neither is what you want if I've understood you correctly. What you can do, if the table is not terribly complex, is to convert the table to text, remove the content you don't need, and then convert the text to a table with the same number of columns, which will bring content up from the next row.