Fred, it is not only OK
it is essential that you run the coax all the way to the center of the two elements which is the highest point in an inverted vee and it is then that your radio will "see" the correct impedance that it needs for efficient transfer of power into the antenna. If you do not do this, the antenna is no longer an inverted vee. It is a "spaghetti special" and that is what will happen to your signal. You will be speaking English and someone listening will think you are Italian speaking French with an unusual accent. Using coax also will reduce or prevent feedback of the rf into your other electronics aboard ie: autopilot, nav gear, stereo, computer, etc. The rigging - shrouds, etc will carry the rf energy back into your boat not only wasting it but wreaking havoc with your other systems. Using coax will reduce or eliminate that problem. You can light a florescent bulb by holding it next to a driven antenna element when transmitting. The electronics aboard (especially inverters and chargers) will likewise interfere with your reception unless you take steps to reduce that source. Putting the antenna as far away as you can from that source and feeding it with coax is a good solution for that problem. For a more advanced education, read about TOROIDS or TOROIDAL FILTERS.