Pandas - Groupby with conditional formula

   Survived  SibSp  Parch
0         0      1      0
1         1      1      0
2         1      0      0
3         1      1      0
4         0      0      1

Given the above dataframe, is there an elegant way to groupby with a condition? I want to split the data into two groups based on the following conditions:

(df['SibSp'] > 0) | (df['Parch'] > 0) =   New Group -"Has Family"
 (df['SibSp'] == 0) & (df['Parch'] == 0) = New Group - "No Family"

then take the means of both of these groups and end up with an output like this:

               SurvivedMean
 Has Family    Mean
 No Family     Mean

Can it be done using groupby or would I have to append a new column using the above conditional statement?