A:AnswerYes, you can use a USB printer cable to connect the printer to a Chromebook. Because the port on the back of the computer is not the commonly seen type (called a "Type A" connector), you need to get a USB printer cable, which has the correct end to plug into the printer.
A:AnswerYes, the DeskJet Plus 4155 will work with your Chromebook. The printer will work wirelessly unless your school forbids the attachment of printers to their network. (You should check with the school)
A:AnswerThe HP DeskJet Plus 4155 does not actually fax itself. You would send faxes using the HP Smart App and mobile fax service. You can find out more at the website for HP Smart: https://www.hpsmart.com/us/en/mobile-fax/