Not in the way you're thinking. On a 40L board you're going to want to do a water start and that means enough wind, power and technique for you to haul yourself out of the water. It's easier with a bigger kite and a smaller foil because you have enough power and resistance to hammer things and get yourself going.
It gets more complicated because low aspect, thick profile large foil will be overpowered by a diving kite and stand up on its tail. You have to almost stand on the nose of the board with both feet to hold it down (which is kind of fun). A high aspect large foil is a bit more docile but still requires a more gentle touch than a smaller foil.
The light wind kite foiling problem I am looking to solve is that in very light winds it can be difficult to get that blast of power to get your self up and away on the foil. THe board slides through the water, reducing power, or the foil sits on the bottom, or you struggle to keep the kite in the air.
Where a Peak would be good is with say a 100L board and a big foil. The attraction of the Peak is that it could fly above your head in a light breeze while you walk your wing foil board into deeper water, climb on, get to your feet, then do things with the kite.
The problem with wings is that they simply don't generate any significant power. The "line length" is your arms. You can flap and pump all you want but if you don't get enough board speed to foil you're stuffed. A kite has the whole length of the lines to swoop and generate apparent wind. Even in light winds there is a heap of power on tap, but sometimes it's just not enough when combined with everything else that is going on.
I'm not sure a Peak 4 is suitable for a beginner. They're not made to water relaunch. People are saying a 50% chance of relaunching in ideal conditions. I learned to kiteboard on a open cell ram air buggy kite and a 9' surfboard. I think I might have relaunched it twice. That was actually not a problem. I just floated in, poured out the water and sand, hauled it up in the air and took off again. It was fun.