Welcome, Phil!
Yes, you can buy a digital piano, which is usually different than a digital arranger.
A digital arranger will normally have a wide variety of instrument sounds, from piano and organ to orchestral and electronic, and will have a wide variety of auto accompaniments that you can play along to, like a sort of one-man band. The auto accompaniments are why these keyboards are called "arrangers," because you can create arrangements of songs with them using their auto accompaniments, but the wide range of different instrument sounds is another characteristic feature.
A digital piano, on the other hand, will normally have a better-quality keybed with piano-style keys, and rather than trying to provide a smorgasboard of sounds it will normally have fewer sounds, typically acoustic piano, electric piano, harpsichord, organ, acoustic guitar, bass, and strings (violin, etc.). The exact number and variety of sounds can differ by brand and model, but the sounds are usually of a higher quality than the ones you'd get with an arranger-- that is, quality is generally emphasized over quantity. The keyboard will also typically have more keys than a typical arranger does-- 76 or 88, as opposed to 61 or 76.