Can you get from the Rotterdam cruise port to the Rotterdam Centraal train station without a taxi? I'd like to take the tram or Metro is that possible? How much and how long would that take?
If your cruise arrives at the Rotterdam cruise terminal, Wilhelminakade 699, 3072 AP Rotterdam, Nederland is what I get for the address, you can easily go from there by metro or by tram.
The name of the stop you need is Wilhelminakade, or Wilhelminaplein, depending on the mode of transport.
This site will help you work out the best mode of transport or combination of transport if you are based somewhere in the Netherlands.
To Rotterdam Centraal, the main railway station for the town, it is one metro ride, towards Centraal station, (might say Den Haag instead, further on the same line). There is only one line at this stop.
It is a short journey, just the fourth stop. If you own an OV Chip card for the Netherlands it will cost you € 1.26, but if you have to buy a one time ticket you pay € 3.50 for a two hour travel ticket. If you go by tram or bus, you only pay € 3.00 for a one hour travel ticket. (There is also a two times one hour each ticket at the Metro station for € 6.00. which might be useful for some.)
The tram to take is Tram 23 (direction centraal station) and the driver or if there the ticket collector/guard will sell you the ticket. That takes all of 10 minutes, starting from almost the same location and the stop is about the same location as the metro stop.
If your cruise is arriving at an other place in the Rotterdam harbors it might be harder, as the harbors are extensive. The staff at the terminal you use will help you finding the best option in that case.
The 9292 journey planner says that there is a direct metro connection between the Rotterdam cruise port and the Centraal train station. Walk to the Wilhelminaplein metro station, and take the D (or E) train towards Rotterdam Centraal (or Den Haag Centraal). Total cost of the journey with a OV-chipcard seem to be 1,26
EUR or 0.83
EUR if you are eligible for reductions. If you don't have a chipcard, you can buy a
RET 2 uur reizen ticket allowing you to travel 2 hours by bus, tram and metro for 3.50
EUR, directly at the Wilhelminaplein metro station.
Below is a map of the metro network in Rotterdam (courtesy of MapaMetro.com):