If your question was can I program a native PIC with a serial program lead, then the answer is yes.
You load a serial bootloader into a native PIC with a standard PIC programmer and from then you can use a serial lead, such as the AXE027 to program the PICs.
However the programs the native PIC requires are .HEX files which are either generated by an Assembler, such as MPLAB, or are .HEX files generated by one of the available compilers. These compilers are available in various languages, C, Pascal and of course Basic. But the Basic is not the PICAXE basic we know and love, but versions of Basic that are proprietary to the companies that sell the compilers (and which cost £125+) .