Wouldn't be entierly impossible. I'm about as old now as my dad was when he died(I was one year old at the time, so I never knew him) and I can't find any simularities between us. I don't dare asking about him, since my mom always became upset and angry when I asked as a kid, so the only information I got are few bits of information I've gotten over the years.
I've been told I have the same distinct hair color as him(dark brown with tons of dark and light red in it), but in every single photo he's always had completely blonde hair. Even in a rare photo of him when he was 14. It's possible he keep it constantly bleached, though why he'd hate our hair color is beyond me.
My aunt I've never spoken with, who actually lives right across the street by some weird coincidence, also has really blonde hair and looks a lot like my sister. Been told I look a lot like my sister as well, but I can't find a single element in our faces that we both have.
There is a photo of my grandfather(my fathers father) who actually looks a damn lot like me though, so perhaps the face genes just skipped a generation.
Whatever. My mom is my dad. She managed to raise two babies by herself and has kept us provided with everything we needed thanks to working hard and climbing the company ladder like a boss.