Inviting another person to join by texting the invitation

PS, by the above question, I mean texting from a computer desktop device, not from a mobile phone....

Yes, there is a meeting link at the bottom of the participants list in a running meeting.  Or you can copy and paste the invitation from the scheduled meeting section.  Its good to make sure settings on your account have "Embed Meeting Passcode in Invitation Link" switched on.  This is found by signing into your account on zoom.us and clicking settings. Hope that helps.

Zoom does not have a native invitation via text feature. You would need to copy the invite and paste it into a 3rd party texting service, either on your computer or mobile phone.