That's a good question Sandbur!
Here's a study that showed Brix levels can be increased significantly through foliar application of the correct nutrients in apples and pears. I believe it said foliars were applied monthly, which is not specific to your question of 2 weeks before hand.
From an article explaining foliar and how it can help the soil, vegative growth, and reproductive set. Nothing said about a short time frame in this one either. Both sources advocate a season long program. But both claim increased sugar yeilds due to foliars measured through Brix readings. When I did my experiment this spring it was in an effort to increase root exudates without applying synthetic fertilizers to the soil. This exert mentions that briefly.
"When a foliar program is properly applied the mineral density within the plant is increased, as are the carbohydrates or plant sugars. This increase of plant sugars and minerals are sent to the roots of the plants, some of which are excreted out of the roots as plant exudates. This increase of plant root exudates, caused by the foliar spray, creates a ready food supply for the bacteria that live symbiotically on the plant roots. Bacteria respond to this increased food supply by making more nutrients in the soil available to the plant. These minerals are picked up by the roots and sent to the aerial part of the plant. This process explains how a foliar spray can increase brix readings.
In addition to increasing nutrient density, a foliar spray is a command to a plant’s physiology. A foliar spray can either push a plant toward vegetative production i.e. growth of leaves, stems, and stalk or it can push a plant toward reproduction i.e. promotion of blossoms, flowers, and fruit set.
Systematic foliar spraying will exhibit a cumulative affect of increasing yield along with mineral density and plant sugars. In the High Brix Garden program we emphasize a weekly foliar spray of either BrixBlaster or Qualify! beginning one month after transplanting or emergence. BrixBlaster is used for crops making reproductive growth such as tomatoes, peppers, and sweet corn. Qualify! is used on crops making vegetative growth such as lettuce, kale, and spinach. It can also be used on early growth of crops that will later need BrixBlaster"
It is possible to grow foods with high mineral density in your own backyard. The High Brix Garden Program will help you understand what conditions are required for plants to grow with optimum nutrition and how those conditions are achieved.
highbrixgardens.com