I think you have to look print photo sample code with Swift:
https://developer.apple.com/library/ios/samplecode/PrintPhoto/Introduction/Intro.html
What exactly is your view, imageView or UIView? If you are interested in imageView or UIImage, Print Photo sample from Apple is for you. If your subject is UIView you can create pdf context from view.layers and send to AirPrint func like WebKit, text or you can print to create pdf data.
The best solution is Create Pdf file is in here for swift
Generate PDF with Swift
Print pdf file is for swift implementation:
var pdfLoc = NSURL(fileURLWithPath:yourPdfFilePath)
let printController = UIPrintInteractionController.sharedPrintController()!
let printInfo = UIPrintInfo(dictionary:nil)!
printInfo.outputType = UIPrintInfoOutputType.General
printInfo.jobName = "print Job"
printController.printInfo = printInfo
printController.printingItem = pdfLoc
printController.presentFromBarButtonItem(printButton, animated: true, completionHandler: nil)