Hi Rich,
Yes you can build her that way, many years ago Dave Metcalfe made a pusher tug called Egrete this way, a free plan feature in model boats and i know a few people who built her with no problems.
Just use plenty of chopped up styrene reinforced liquid cement for the joints and be patient for a strong bond to happen, this is the model version of a welded plate steel hull !!
And before you ask i am getting A ROUND to it !! Just finished the new workshop .......at last
Kind regards
Ian