No, not really. Carp pellets are similar except they are usually manfactured with a food profil more inline with the needs of Carp and Cyprinids than Trout. This usually means a lower oil content.
Trout pellets are banned on many stillwaters.
Carp pellets come in two main types. Standard and Expander.
Standard ones will sink and are great for feed but are difficult to hook.
Expanders would float of you just threw them in so they need a bit of preparation. I soak mine in water for 15 minutes or so and then I use a pellet pump (ask your local tackle shop and they'll show you this) to remove the air. The soaking makes them expand and removing the air makes them sink. They're great for both feed and hook baits.
On many waters nowadays, pellets are the most common bait used so all sorts of fish are used to eating them. On some waters you'll still get pestered by small Rudd and Roach but you always have the option of using larger pellets.
I'd recommend Van Den Eynde Expanders. Try the 3mm ones first. You should only need a third of a bag for a day's fishing.