No! τηλέφωνο or σταθερό τηλέφωνο is the stable telephone! It can also mean telephone number (e.g. Ποιο είναι το τηλέφωνό σου; = What is your telephone number?)
Mobile phone is called κινητό τηλέφωνο or simpler κινητό in Greek.
I disagree! While "κινητό" is the most usual, we use "τηλέφωνο" for mobile as well. That's why when we want someone to call us on the regular phone connected to a line, we say "πάρε με στο σταθερό" as opposed to "πάρε με στο τηλέφωνο" - because we refer to both as "τηλέφωνο".