I think so. When I want to answer questions like this, I like to do a search on Google News because it turns up a good selection of contemporary examples; not formal or "literary," but not too slangy. And I find:
"Doug Gottlieb Says NCAA's New 'Rich Paul Rule' is Not Racist Whatsoever."
"Adam Goodes has ‘no interest whatsoever’ in reconnecting with the AFL"
"Navarro would not go even that far, saying Sunday 'there's no evidence whatsoever that Americans consumers are bearing any of this.'"
An election strategist was quoted as saying that a certain candidate showed "no heart whatsoever."
In all of these cases, it is a quotation of spoken speech. Two are in the context of athletics, two in the context of national politics. All of them match DavidK's examples of usage.