Yes you can, don't count on it paying much. If you want to do that you are better off finding your own customer who can utilize your level of service and amount of equipment and it works for you how many loads they are moving. It's exactly what I do for my summer run.
Right now with the way things are even the load boards would be slim pickings and usually anything that ends up there is the garbage freight nobody wants.That can be true even in good times.
If it picks and delivers the same day locally you can generally rest assured it won't be on a loadboard. More often than not you'll be baby sitting anything locally from a loadboard.
Just for some insight, my company has not brokered anything local across Canada since November. We might use an hourly power only contractor to cover volume spikes, here and there, but that’s it. Company daycabs are down to 9-10 hours a day, regional guys less, highway is hit or miss (feast or famine). Wild times.