With enough time and money you can do anything but it's definitely an engineering challange. The wind loads on a structure that size are enormous. The problem isn't weight so much as it is
shear.
First look at the south end zone supports at Florida Field
View attachment 6832
The south end zone scoreboard isn't large by modern standards but it's large enough. There are 6 triangular trusses on the roof of the walkway structure. Fortunately the south end zone was built with enough strength to support the forces involved such that a large scoreboard could be added after the fact.
Now look at the back of the north end zone of Florida Field
View attachment 6833
The current scoreboard is supported by two small columns; in fact they look too small - remind me to stay away from the north end zone in a strong wind. But those columns no doubt extend all the way to the ground. Some of the shear forces must be distributed to the top of the stadium and the touchdown terrace building.
Finally look at
Eberbanks Field the Gator Bowl scoreboard which is supported by what looks like 7 large truss/columns that reach all the way to the ground.
Sorry. I forgot what I was saying.