I don't think a raise of 7 meters in global sea level is possible with a single step with the meltwater dam hypothesis. But, small steps in sea level do seem possible. At the ends of some of the previous ice age peaks, there seem to have been some extreme flooding events that were attributed to failures of "ice dams" in the western U.S. and in western Europe. The one in Western Europe is believed to have broken through where the English Channel is now located, separating what is now England from what is now France.
Here is a link to the thinking about what happened in the western U.S. https://en.wikipedia.org/wiki/Missoula_floods
I did not spend the time to try to find a total discharge volume so as to be able to calculate the ocean level change when the water is spread around the globe. Maybe you can do that for us.
Here is another link that describes some of the ocean and climate effects hypothesized for the western U.S. flood(s?). https://www.livescience.com/873-bursting-ice-dam-flooded-ancient-ocean.html
The time period for that last link is consistent with the estimated timing of the flooding of "Doggerland" which is now the North Sea off the north coast of England. That flooding does appear to have been rather quick, because there seem to be a lot of archeological artefacts in relatively shallow waters there.
Here is a link to the thinking about what happened in the western U.S. https://en.wikipedia.org/wiki/Missoula_floods
I did not spend the time to try to find a total discharge volume so as to be able to calculate the ocean level change when the water is spread around the globe. Maybe you can do that for us.
Here is another link that describes some of the ocean and climate effects hypothesized for the western U.S. flood(s?). https://www.livescience.com/873-bursting-ice-dam-flooded-ancient-ocean.html
The time period for that last link is consistent with the estimated timing of the flooding of "Doggerland" which is now the North Sea off the north coast of England. That flooding does appear to have been rather quick, because there seem to be a lot of archeological artefacts in relatively shallow waters there.