"highly escalated" is correct and usable in written English.
You can use it when describing a situation or process that is increasing in intensity or complexity. For example, "The conflict between the two countries has become highly escalated due to the recent accusations."
The standoff at the Southern Weekly, long seen as a beacon of independent and in-depth reporting in China's stilted, highly controlled media landscape, escalated into a national social media issue and has triggered demands for the new leadership to enshrine media freedom.
Global concerns about an impending influenza pandemic escalated when highly pathogenic influenza A subtype H5N1 appeared in Nigeria in January 2006.
Most experts are saying that SARS is highly unlikely to escalate into a pandemic like the Spanish flu, which killed 25 million worldwide between the summer of 1918 and early 1920.
As a side issue to this, however, the operating costs of nuclear power plants have escalated sharply as more and more highly trained people have been added to the operating staffs.
Contests between males proceed through a highly stereotyped series of aggressive behaviours, with the most escalated contests ending with males head-butting each other and grappling with their mouthparts [36].
These arguments are highly controversial when it comes to HIV funding, which has escalated in low- and middle-income countries (LMICs) from US$2922 million [16] in 1996 to over US$15.66 billion in 2008 [4], [17].
In patients with type 2 diabetes mellitus, the level of circulating AGE was found to have significantly escalated, implying that the rate of glycation reaction is highly concentration-dependent [4].
But those who rent are highly vulnerable to the escalating cost of local land.
In reality such a court case would likely take years and may get escalated to the Supreme Court, because that's where the most relevant and highly contested precedent was set, in 2005.
If so, it was highly coordinated: Mr. Powell used it repeatedly in five separate talk-show appearances early that morning, and the language escalated all day.
