Yes, definitely.
My first (very brief) T had no pic, big mistake, didn't click for lots of reasons and as soon as I saw her i knew she wasn't right for me.
So I looked at lots of Ts after that, and only ones with a photo on the website. I choose my T cos things about her photo suggested we would have some similarity. It was the right choice but, interestingly, she doesn't look like her photo! When I met her, I was like 'well who the **** are you?'

I helped a couple of friends look for Ts recently and we found the website/nice photo/good hair combo works well.