Remember that a flow and delta-t is one operating condition of any machine or coil. Change the flow or change a temperature, and you will have another operating condition. There are many possibilities. But to zero in on your question, if you have a high delta T coil and only a low delta-t chiller, you may not be able to satisfy the load of the coil. You would have to attempt to push more flow through that coil, which may or may not be possible. Same thing with the chiller. More flow through a chiller will give you a lower delta T but not necessarily a lower capacity. You may very well get a higher-capacity. It all depends on your delta T.
Delta T on an air handler coil for example is limited, because you also have to consider the air temperatures on the other side of that coil. If you're entering air temperature is colder than your desired leaving water temperature from that coil, there's no way you will get the delta-t on the water side that you want. So it's always important to consider the entire system. And remember that your design condition only exists for a very short time during the year for a typical HVAC application. You need to select equipment that will perform during the mon peak times.