Macs are not cell phones, and so cannot participate directly in the SMS, MMS, and RCS messaging systems. But with the aid of an iPhone, a Mac can send and receive such messages.
What is the difference between iMessage, RCS, and SMS/MMS? - Apple Support
Forward text messages from your iPhone to other devices - Apple Support
Provided that you're running the latest release of High Sierra, it appears that your Mac would meet the minimum requirements for using either Text Message Forwarding (Yosemite), or Messages in iCloud (High Sierra 10.13.5). Apple could raise the minimum requirements in the future, but for now you should be OK.
Continuity features and requirements for Apple devices - Apple Support
System requirements for iCloud - Apple Support
Also see:
Messages for iPhone, iPad, Apple Watch, and Mac - Official Apple Support
Messages User Guide for Mac - Apple Support