Some people will find that this is the case. There are many plants that release pollen in the early morning, so if you live in an area full of trees, flowers or grasses, it is better to give pollen a chance to disperse before venturing out.
Try not to sleep with your windows open if there is a great deal of plant life around you. If you live further away from plants, it may take a little while for pollen to be carried to your area on the breeze. Windy days will disperse pollen faster, but also carry it away from its source faster. Keep a record of your symptom pattern to see if certain times of day are clearly worse or better for you. Check weather forecasts and pollen counts in your area regularly to have an idea of likely conditions and prepare for them.