Yes. Your date and place of birth are enough for most of your chart.
What works without a birth time
- Your Sun, Moon and planet signs.
- Most of your birth chart reading.
- Compatibility (Moon-based parts are a little softer).
What needs a birth time
- Your Rising sign (how you come across).
- The 12 houses, the areas of life each planet falls in.
- A few transit themes.
These parts show a card that says "Needs your birth time" instead of a guess.
Where to find your birth time
- Your birth certificate or hospital record.
- A parent or relative who may remember.
- A rough time (for example "early morning") is better than none, but can change your Rising sign.
Found it later? Add it yourself under your initials > Account settings > Birth details. Your chart and transits use it at once. See My birth details are wrong. How do I fix my chart?