Yes, its 100% possible.
MATH TIME!!!!
lets say you start in 15 minutes and assume you are in PST, which would be 11am. That gives you 1 day, 13 hours of posting time.
lets say it takes you an average of 6 seconds to make a post from clicking reply to hitting submit, as well as the time to refresh. Add in the 35 seconds and it takes you a total of 41 seconds to make 1 post; with the assumption that during that 35 second delay, you already have a new thread open ready to post.
1 day, 13 hours = 133,200 seconds. That translates to the possibility of making 3,248 posts between 11am PST Dec 30th and 11:59.59pm Dec 31st. So, you have more than enough time to post away. You can even take as long as 1 minute 53 seconds to make each post and add in the 35 second hold time... assuming you need 900 posts, that puts you at 10,000
good luck
edit: when i checked, you had 9182 posts, that means you can take a leisurely 2 minutes and 5 seconds for each post (plus the 35 second delay)!