The answer is yes. See rule 23.4:
When a player places either a PDS or space dock using the “Construction” strategy card, he takes that PDS or space dock from his reinforcements.
If a player does not have enough units in his reinforcements, he can remove units from any systems that do not contain one of his command tokens and place them in his reinforcements. Then, he must place this unit on the game board as instructed by the effect placing the unit.