If you don't have Wi-Fi and aren't near your iPhone, can your connected MacBook Air still get normal SMS (not iMessage) text messages?

If you don't have Wi-Fi and aren't near your iPhone, can your connected MacBook Air still get normal SMS (not iMessage) text messages?

Added (1). If you don't have Wi-Fi and aren't near your iPhone, can your connected MacBook Air still get normal SMS (not iMessage) text messages sent to your iPhone?

No the message forwarding requires an Internet connection for it to work.