No, you won't be able to program that transmitter. If you like the spektrum products as I do, I would really suggest stepping up to at least a DX6i. It may seem like a large investment, but I've watched several people pile planes into the ground repeatedly because they can't control their models. Now before everyone jumps in, it is possible to fly them on a DX5. However, having tried it, and now using a DX8, I can personally vouch for the fact that it's much much easier and more fun to fly a model that's tuned correctly and has the proper programming. There's a reason the best pilots in the world use expo. They probably have the skills to do without it but they choose to use the features available.
I have an E-flite 4Site ultra micro. I tried flying it on my DX5e and it was horrible. I crashed a lot because the plane was so much faster than I was. My DX8 showed up shortly after and I flew that same plane successfully for a long time. I started pushing myself and after a while I ruined the airframe and it was scrapped. I recently got another UM 4Site and now that I'm a more accomplished pilot, I'm enjoying it even more. At the same time I'm flying mine, another guy has one that he's trying to fly on a DX5e. He crashes it constantly and he's afraid to try anything fun with it. He's a decent pilot but he refuses to see the light and buy a transmitter that's equal to the planes he has.
Long story short, I would't recommend it. Start shopping around for a deal on a used DX6i or better before you start really getting into 3D. You will reap the benefits and it will pay for itself in no time because you won't be crashing as much. Granted, if you're doing 3D you're going to crash anyway, but you will minimize by adding proper control to your plane.
Look up my video of my Hobbyking Galaxy maiden flight under the Hobbyking section if you'd like to see my flying for reference.