The phrase "go close to" is correct and can be used in written English.
It means to approach or get near to someone or something. Example: The child was warned not to go close to the edge of the cliff.
27 min: The Amercians go close to restoring parity again.
"They don't even go close to the edges.
76 min: Liverpool go close to grabbing an equaliser.
They will not even go close to those figures, the person said.
"We think he can go close to the top three and he'd expect that himself.
Sometimes it can go close to about $700, $800 a month, just on clothes.
He said the cruise company suggested that he go close to shore, but the company has denied doing so.
He said the cruise company had suggested that he go close to shore, but the company denied it.
That provides a small safety margin because some of these models can go close to 100 miles an hour.
In many American states, a voter could go close to a lifetime and not meet a presidential candidate.
But just as I never saw him go close to a drink, I never saw any of that behavior.
