I’m going to go with: No.

Yeah, it certainly looks like she’s talking on a cell phone. But how the hell would that cellphone work in 1928? I mean, I guess if you unlock the secret to time-travel you can presumably unlock the secret to phones that operate without transmitting towers or satellites, or maybe it’s a future walkie-talkie or something.

But I’m guessing we just assume this woman is talking on a cell phone because we’re now so used to seeing people holding stuff up to their ear and talking that we immediately decode that to mean “cell phone use,” when someone who watched this woman in 1928 might have offered some way more reasonable explanation — like, say, that she’s a crazy person.

Also, it seems to me that if you’re smart enough to travel in time, and then when you get there, shrewd enough to acquire clothes befitting the period, you’re probably smart enough to avoid being caught on camera with some not-yet-invented technology.