Short answer: no for the 4880, don't know about the 3880
The 4880 will only print borderless on the sides and only for certain widths. The specs on the epson website should give the widths. The top and bottom edges can not be printed borderless --> the trailing edge is like .55 inches and the first edge 0.12 inches.
The alternative is to use larger paper and trim to size or use a carrier sheet but this would be a pain for any kind of volume.
You could use regular sheets of paper (rather than stock for greeting cards) and then both cut and score the cards. A local business services place that does copying and binding may be able to do both the cutting and scoring for you at a reasonable price. I checked this out recently around here and it was something like 12 cents per score and $5 per stack (150 IIRC) to do the cutting.
Doug
Dear sirs
Im starting to do greeting cards, in size in following size 7x10inch (RedRiver cards double sided) and would like to use Epson 4880 mainly because of 220ml ink charts.
Also i will be printing Iphoto Photobooks on this printer.
All prints have to be borderless off course
Question is can i do this on Epson 4880, or is Epson 3880 better for this job (80ml ink) but my favorite would be 4880 because of the larger ink tanks and more speed.
Best regards
Jorm