Only if you have the personnel to support those outputs. Loss of facilities is one thing, but loss of trained personnel requires more time, and energy to train them up, move them to the location, and prepare to increase output.BTW, I figure that a number of shipyards have Starfleet contracts. In case of invasion (such as during the Four Years War), so if one system falls you can still build ships
Doable? Of course, but time intensive.