Yes, unless you've got a pretty robust electrical system, an electric galley can be limiting. On any boat with less than a 6kw genset and not at least 2x 30A inlets (preferably a 50A 125/250), cooking as you describe would be somewhere between a challenge and impossible. Generally the point of adequate power availability happens anywhere in the 35 - 50 foot range, depending on the boat.
This is one of the reasons I say gas vs electric galley depends somewhat on your cooking style, as that determines just how much electrical infrastructure you need. And also why electric galleys make sense on some boats, but not others (as some already have the infrastructure to support it without much change, while others would require more work to support electric cooking).
Using my boat as an example, the stove has 3x 1100w burners, so 3300w if all 3 are on at the same time (they're coils, so they cycle rather than running at reduced power when turned down). Swap my microwave for a convection oven combo unit. The most likely unit I'm considering swapping in draws 1650 watts in oven mode.
So rounding up slightly, we're drawing 5kw to run all 3 burners and the oven. My 6.5kw genset will keep up with enough headroom to run the battery charger, some lights, etc. But you'd want to turn off the water heater. On shore power, it would be a non-issue, as the stove and microwave/oven are on separate legs. So out of 6kw available on each 50A leg, you're drawing 3.3kw on leg one (leaves enough for battery charger, water heater, and some headroom). And we're drawing 1.7kw on leg 2, leaving enough to run 2 of the 3 A/C units with some headroom.
But my boat was built with an electric galley in mind, so it's got a bit more power on board than some its size. Even at 38 feet, it's got two 50A 125V legs on the panel.