Can you pour concrete piers and wooden forms at the same time?

im building a 22x32 2 story house on 12 inch concrete piers and footings. it is in a cold climate so the footings are 36 inches or deeper. i was going to use 28 inch big foots but there was lots of free 2x10 and 2x8 lumber laying around so i built the 36 inch by 36 inch forms myself to save about $480. i have attached one sono tube so far and i have it braced in place by using scrap 2x6 across the top of the form with another row of 2x6 on top of the first row in the opposite direction so its braced all 4 ways. the sono tube is about flush with the top of the forms and it is in the middle. ive seen these forms at construction sites and it looks like everything is poured in one shot but im worried if i go ahead and do all 14 forms like that and then pour concrete it might start coming up over the top of the form instead of filling the tube up. is it possible to pour everything in one shot like that or should i nail half in plywood on top and then cut out a hole the same diameter as the sonotube and then pour it? i dont want to pour the footings and then the tubes because it creates a cold joint and id rather save the $500 bucks for plastic forms and use that money elsewhere in the project. if i should cover the top of the forms im assuming it would be a good idea to vibrate the concrete so it fills the whole box up? id really appreciate any info on this.