I agree.
The sidestand is only strong enough to hold the weight of a stationary bike.
The trailer will bounce and the up and down motion of the trailer will be magnified and put extra weight/force to the sidestand. It may bend, and the straps loosen, or worse, break.
Also if the straps loosen even a little (which they tend to do) the stand could fold up and she goes down.
As the trailer bounces, the tendency will be for the back tire to try and slide to the right as it is leaning to the left.
Back in the day I put down a sheet of plywood (3/4 or bigger) and took 2 2X4’s the length of the bike, and laid them along side each tire, and screwed them to the plywood. That stopped the sideways movement of the tires.
The wheel chock is the best if you can do it.
I think you know inside that it is not right as you have it, or you would not ask us for our opinions.
If she goes down and bounces around for a part of the trip, it will be a sad day for you.
JMO
Good luck with the move!!