Yes, you can do it.
I have the same situation when my two kids were 2 and 3. It has been 3 years
now, I thought I never can do it by myself.
Here are some suggestions:
1. Buy groceries at weekday.
2. Send kids to daycare. Your little one might get sick easily, but once a
while you take sick day off. Your boss will understand.
3. Arrange kids activity at weekend.
4. Plan everything ahead of time.
5. Ask dad call every day.
I am lucky becuase my work place is really closed, and school environment