Fresco's answer is correct, solar tides would still exist even if the moon did not. (however, I don't think the earth's oceans had formed before the moon anyway, so the only tides would have been tides of molten rock).
Theoretically, every object which interacts with the Earth gravitationally causes tides, but to a much smaller degree than we are used to with Lunar tides. Solar tides would obviously exist without the moon, but they would not be nearly as noticeable as lunar tides.
I suppose there would also be very small tidal effects from Jupiter and Saturn as well, although they would probably be so tiny as to be overwhelmed by local variations from other sources.