There is no need to interpret the text this way. Even though the word “formed” is a vayyiqtol (normal on-line narrative, normally denoting sequential action), the statement of forming could just as easily be a summation of days five and six as a statement of sequential order. The emphasis in the context is far more on the bringing and naming than on the forming. Furthermore, the forming of the creatures from the earth is an implicit contrast with the forming of the woman from the rib of the man.
It is a commonplace in historical-critical scholarship to assert that Genesis 1 and Genesis 2 offer us two distinct (and usually, therefore, dependent on two different sources, J and E) creation accounts that contradict each other. The order of created things in Genesis 1 is light, firmament, separation of land and sea, plants, lights, fish, birds, land animals, humanity. In chapter 2, it is said, the order is very different: humanity, plants, land animals. Although this supposed discrepancy has been answered in the past by conservative scholars such as Keil and Delitzsch, the historical-critical scholars continue to cite this supposed discrepancy as if there were no answer to their claims.
It is my claim that there cannot be a discrepancy in the text, if it is read carefully, and without an assumption of contradiction. The exegesis of the text in Genesis 2 will show that the plants supposedly created after humanity are not all plants, but only cultivated plants. It is a relatively simple point. There are two reasons given in 2:5b for why the plants of 2:5a are not yet in existence. There was no rain, and there was no man to plow the ground.