Sure, lost of hardware supports jumbo frames which are 9K bytes in length. Ethernet however uses a 32 bit CRC to detect bit inversion and this CRC is only reliable up to around 12K bytes.
11. Appendix 2. Comments from the draft's authors:
FDDI and Ethernet use the same error checking mechanism; CRC-32. The probability of undetected errors remains constant for frame sizes between 3007 and 91639 bits (approximately 376 to 11455 bytes). Setting the maximum size of jumbo frames to 9018 bytes falls well within this range. There is no increase in undetected errors when using jumbo frames and the existing CRC-32 as the error detection mechanism.
>The strength of the Ethernet CRC checksum and the 16 bitTransport checksum has been found to reduce for data segments that are largerthan the standard Ethernet MTU. Koopman et. al. [Koopman] have explored a number of CRC polynomials as well as the polynomial used in the Ethernet CRC calculation.
>"Due to the nature of the CRC algorithm, the probability of undetected errors is the same for frame sizes between 376 and 11,455 bytes. Thus to maintain the same bit error rate accuracy as standard Ethernet, frames should ideally not exceed 11455 bytes."
"The weakening of this frame check which greater frame sizes is explored in R. Jain's "Error Characteristics of Fiber Distributed Data Interface (FDDI)", which appeared in IEEE Transactions on Communications, August 1990. [...] Firstly, the power of ethernet's Frame Check Sequence is the major limitation on increasing the ethernet MTU beyond 11444 bytes. Secondly, frame sizes under 11445 bytes are as well protected by ethernet's Frame Check Sequence as frame sizes under 1518 bytes."
"Why 9000? First because ethernet uses a 32 bit CRC that loses its effectiveness above about 12000 bytes. And secondly, 9000 was large enough to carry an 8 KB application datagram (e.g. NFS) plus packet header overhead."
(The page doesn't mention it, but I guess only multiples of 1500 were considered, and 9000 is the smallest multiple of 9000 greater than 8192.)