The relevant regulations can be found in Chap. 5B-62 of the Florida Administrative Code. Technically, if you look at the definition and description of the certified nursery stock certification program, found at 5B-62.001(17) and 5B-62.007, non-commercial, own-use, dooryard citrus propagation is possible, as long as you follow all of the protocols. This involves registration, a specialized facility, acquisition of certified scion material, testing, extensive sanitation procedures, etc... And while the statutes and regulations don't specifically state that the folks at the Division of Plant Industry should laugh at any own-use dooryard grower who requests certification, I don't know that would stop them from doing so (and this isn't to suggest they are callous and unsympathetic; just to say that the regulations are such that they probably prohibit in practice what they seem to allow in theory).
That said, I haven't read the regs exhaustively, so perhaps someone else knows of provisions that I do not.