Yes, it is completely safe to wash a load of laundry without fabric softener and dryer sheets. Fabric softeners and dryer sheets are used to provide certain benefits, such as reducing static, making clothes feel softer, and adding a pleasant fragrance to the laundry. However, they are not essential for the basic function of cleaning your clothes.
If you choose not to use fabric softeners and dryer sheets, your clothes will still get clean and come out of the washing machine perfectly safe to wear. The cleaning process mainly depends on the detergent you use and the washing machine's performance. The absence of fabric softeners and dryer sheets won't harm your clothes or your washing machine.
Keep in mind that some fabrics might come out of the dryer with more static without using a dryer sheet, but it's not harmful to the clothes or the dryer. If you're concerned about static cling, you can use alternative methods like using natural fabric softeners, such as vinegar, or using wool dryer balls, which can help reduce static without using traditional dryer sheets.
Ultimately, it's a matter of personal preference whether you choose to use fabric softeners and dryer sheets or not. If you prefer to avoid them for any reason, you can still have clean and safe laundry without any issues.