Can we agree to equal time with our child and no child support ordered?

My husband and I are amicably dissolving our marriage. We were married and reside in Linn County, Oregon. I am wondering if it is required to specify a child support amount that one parent has to pay to the other? We both are struggling financially right now; I work 32-38 hrs/week, but I have several garnishments and take home about $450-550/bi-weekly paycheck. I also have a 9 year old daughter from a past relationship in my care to support. My husband doesn't work right now either and will be receiving unemployment benefits until he finds work, so we are both in pretty much the same financial situation. We have agreed that we want equal time/custody of our son and agree that in that equal time spent with our son, we would be financially responsible for his needs during that time. We always work together, with help from both of our families, to share the cost of expenses like sports activities, medical bills, school pictures, etc. Neither one of us are getting TANF; however, we do receive food stamp assistance as a family currently, and will most definitely will both be needing food assistance separately once we live apart after the divorce. Is there any way this can be done? I understand that child support is a right of the child, not the parent(s) but in our case, we are just wanting to make this as seamless as possible for our son. We, for months, have discussed this process and are both in complete agreement that we want NO specified amount from the other person/money for child support when we divorce. Is this possible?