Effectively, yes . . .
. . . and they will "work", but . . .
A 3S 2200mAh pack is very heavy for a plane the size of an FT flyer. The 30A ESC is a bit oversized as well -- weight being the concern, not capacity. you likely will not have the needed power to remain airborne under that much weight.
Keep in mind the FT Flyer is spec'ed for anything between a 2S 500 and a 3S 1000, which is an enormous span -- the largest battery is 3 times bigger than the smallest. Despite that large span, anything in between will work. You've chosen a battery that's more than double the size of the largest battery, which flies on the heavy side as it is. I'd highly recommend getting a much smaller battery. The added weight of the larger ESC might be ignored, but that's a big battery for a small plane.
BTW, the ESC is not sized by the maximum possible current the battery can source, but the maximum current the motor can safely (or is expected to) draw at WOT (Wide Open Throttle). The battery's C rating is also speced for this as well. So how much can that motor safely draw? 10A continuous, but 12A burst. Picking a 12-15A ESC would be more inline with what that motor needs -- larger will work but it will be added weight and cost.
So, the specs tell us the maximum safe draw, but . . . how much do you *expect* the motor to draw? That will depend on the prop. The recommended prop for a motor at a given voltage should put you near those maximums. Put a shorter or shallower prop on or drop the voltage (3S->2S), and the current needed to sling that prop at WOT will decrease, as will your thrust output. There's a handful of very non-linear relationships here, which is why many people will recommend using a power meter to verify the current draw, but some go by "if the motor isn't burning Hot, it's fine" method.