No. Only one robot gets credit for hanging per period.
EDIT: However, the rule does not preclude an alliance from having a different robot do a high hang for each period.
@100099j
I would add, this is right in the game manual definitions, and I hope that others will read it carefully before asking questions in the official Q&A:
^Exactly what Karthik will say to you, although worded differently. @100099j
“We ask you to please thoroughly read the VEX Robotics Comeptition Starstruck Game Manual and to please review the Q&A Usage Guidelines before posting in this forum. Specifically, please quote the rule or definition that your question is referring to.” 
Seems to me we should have a stock quote function in this forum 
Stock quotes are only the beginning. Check out Slack and all the integrations available with that tool. If we only had Slackbot capabilities here. Karthik’s job could be so much easier!
slackbot RTM
@jonathandamico was working on a plugin for our VEX Discord chat that would print out rules & responses! But we’re stopping with using the bot until VEXdb gets fixed.
I also suggested moving everything to a subreddit so we can downvote bad content.
I own the r/vexforum subreddit, but I want to stay where the RECF wants us. I was originally going to make the subreddit mirror the content here, but gave up because getting the data out of here was too hard. If we were to move, I would almost elect that we move into StackExchange, because of the reputation system. Just my two cents