Yes, there is a function in Excel that can increment the days of the week as well as the date. You can use the "WEEKDAY" function to achieve this.

To increment the days of the week along with the date, follow these steps:

1. Enter the starting date in a cell, for example, A1.
2. In the cell next to it, enter the formula
   Formula:

   "=A1+1" 

   . This will add one day to the date in cell A1.
3. To display the day of the week along with the date, use the "TEXT" function. For example, in cell C1, enter the formula
   Formula:

   "=TEXT(A1,"dddd mmm d, yyyy")" 

   . This will display the date in the format "Monday Aug 1, 2009".
4. In the cell next to it, enter the formula
   Formula:

   "=C1+1" 

   . This will add one day to the date in cell C1 and display the next day of the week.

To increment only the days of the week, follow these steps:

1. Enter the starting day of the week in a cell, for example, A1.
2. In the cell next to it, enter the formula
   Formula:

   "=A1+1" 

   . This will add one day to the day of the week in cell A1.
3. To display the day of the week, use the "TEXT" function. For example, in cell C1, enter the formula
   Formula:

   "=TEXT(A1,"dddd")" 

   . This will display the day of the week in the format "Monday".
4. In the cell next to it, enter the formula
   Formula:

   "=C1+1" 

   . This will add one day to the day of the week in cell C1 and display the next day of the week.

Note that the "WEEKDAY" function can also be used to determine the day of the week for a given date.