Yes, there can. Anyone can start one, too.
But, not just anyone can create a poll ...
But, if someone does want to do a poll, here is a list of H!P videos that were released in 2016 (if I missed any one can correct) in case someone wants to start a poll:
ANGERME - Ai no Tame
ANGERME - Itoshima Distance
ANGERME - Koi Nara Tokku ni Hajimatteru
ANGERME - Tsugitsugi Zukozuko
ANGERME - Umaku Ienai
ANGERME - Wasurete Ageru
Buono! - So La Ti Do ~Hey, Hey~
Country Girls - Boogie Woogie Love
Country Girls - Dou Datte Ii no
Country Girls - Koi wa Magnet
Country Girls - Namida no Request
Country Girls - Ran Ra Run ~Anata ni Muchuu~
C-ute - Ai wa Maru de Seidenki
C-ute - Jinsei wa STEP!
C-ute - Mugen Climax
C-ute - Naze Hito wa Arasoun Darou
C-ute - Singing ~Ano Koro no You ni~
C-ute - Summer Wind
Juice=Juice - Ashita Yarou wa Bakayarou
Juice=Juice - DREAM ROAD ~Kororo ga Odoridashiteru
Juice=Juice - Karada Dake ga Otona ni Nattan ja nai
Juice=Juice - KEEP ON Joshou Shikou!!
Juice=Juice - Next is You!
Kobushi Factory - Bacchikoi Seishun!
Kobushi Factory - Chotto Guchoku ni! Chototsu Moushin
Kobushi Factory - Kobushi no Hana
Kobushi Factory - Ora wa Ninkimono
Kobushi Factory - Osu! Kobushidamashii
Kobushi Factory - Sakura Night Fever
Kobushi Factory - Samba! Kobushi Janeiro
Morning Musume.'16 - Mukidashi de Mukiatte
Morning Musume.'16 - Sexy Cat no Enzetsu
Morning Musume.'16 - Sou ja nai
Morning Musume.'16 - The Vision
Morning Musume.'16 - Tokyo to Iu Katasumi
Morning Musume.'16 - Utaka Saturday Night
I would allow people to pick up to 10 if that is allowed ...