Maybe it's me, but I'm not sure exactly what you are asking...
If you are asking whether it is possible to install new laminate over old, the answer is a qualified yes. It is posssible if the old laminate is adhered well and the old countertop itself is not rotted or post-formed (rounded edges).
Even when simply adding a mew laminate over the old, it may be necessary to remove the entire old counter top from its location in order to place, cut, glue, and trim the laminate.
The counter would then be placed back into position anf fastened back down.
I do not recommend going over an old top but it can be done. Roughing the old surface can help the new top adhere better, just make sure the area is as clean as possible before applying the fresh glue. The old top can be removed easier by using a heat gun if that is the route you decide to take. As is with "going over" make sure that the top is sanded and cleaned well before applying glue....MJH