Can you walk from Pest to Buda?

Excuse me, I'm curious about the feasibility of walking from Pest to Buda. I understand that these are two distinct parts of Budapest, and I'm wondering if it's a practical option to traverse between them on foot. Could you please elaborate on the distance involved, any potential obstacles or challenges one might encounter, and perhaps any scenic routes or landmarks that might make the journey worthwhile? Additionally, are there any safety concerns I should be aware of before embarking on such a walk? Thank you for your time and consideration.