"surge to" is correct and usable in written English.
You can use "surge to" to describe a sudden increase in intensity or magnitude, as in "The demand for the product surged to unprecedented levels."
Advertisers, too, surge to promote their wares, especially on television.
Democrats will surge to the barricades to defend federal programs.
Soriano wants his surge to carry over into the playoffs.
Can he turn it around, and surge to victory?
There has never been this kind of surge to the Liberal Democrats".
François Bayrou, a centrist, enjoyed an unexpected recent surge to a respectable third place.
In the meantime, Romine could easily surge to the fore, leaving behind both Cervelli and Stewart.
After listening to introductory speeches they surge to place their CVs next to company nametags.
That is followed by a surge to $53 billion in 2015 and $73 billion in 2017.
Traders had attributed the yen's surge to Japanese companies repatriating funds to finance recovery back home.
Then, beginning last fall the Obama administration launched a diplomatic surge to give peace a chance.
