I think I can, but I know that would miss it in some situations.If this question was made, maybe, two or three years before I would say "I can totally live without it, actually I don't even have a cellphone because I hate telephones", I used to say to my mother "I hate answering calls, the person never wants to talk with me and even if the call is for me, it's never something good". Yes, I was pretty pessimistic back then haha.
But then, one christmas my family brought a cellphone as a surpise for me, they said that I needed one so they could find me when I was not at home. A simple one (high tech gadgets are nice, but probably I would be afraid to use a expensive cellphone on the street), and now I have to agree that it's very handy.
Well, I used to forget to carrry it with me a lot (or to recharge the battery), but since I started to work sometimes familiars look for me to lunch together, my boyfriend sometimes calls or texts me on the middle of the day and I use to remember the phones fo my contacts (I have even my own cellphone on my agenda hah, blame my terrible memory for phone numbers) so nowadays I have it always on my sight.