you could certainly make a few more than 6 bales before getting exhausted and abandoning the rest. But I would be tempted to cut it by hand (with a scythe), as toppers arent hay mowers (more violent and dont cut as close to the ground as a hay mower) and they bruise the grass quite a bit, which can lead to problems if you try to make hay as fermentation can be rapid.
Makes sure your bale containers are (i)raintight and (ii) allow a lot of ventilation (tricky balance to achieve outside of a building)
But theres no reason at all why you shouldnt make nice hay, much better than the stuff you can buy.