How big is our nano and what are the dimensions?
Tridacna clams require huge amounts of light and the little one, those smaller than 4 inches, are really difficult to keep alive. As ben said they are inefficient at photosynthesis because their vascular systems are not mature. They therefore require really stupid levels of lighting and phytoplankton in abundance. Ski once was telling me that tridacna clams are culture in about an inch or two of water under the full strenght of the sun in places like Hawaii. There are several species of Tridacna that are available to aquarist and they have very different light requirements. T. Crocea and T. Maxima require the most lighting and I would err on the side of cautious when placing them under 96 watts of T5 light, I have never hear of anyone keeping them under that little lighting. Generally it is accepted they require halides. The next on the list a T. Squamousa which does very well in lower lighting conditions than aforementioned species but again halides are very much beneficial. T. Gigas generally gets to big for a nano although we are talking about an exceptional slow grower but it will live potentially for hundreds of years as will the others. T. deresa is the clam requiring the least lighting and has been known to survive under T5s but lots of them. I think by now the message is quite clear Tridacna clams require halides. If you are thinking of SPS corals as well then certainly a halide will be beneficial in this area too. However if you forget the clam they is no reason why you couldn't keep certain specimens of SPS under your current lighting.
I hope this helps
Kindest regards