I'm new here so I hope I'm doing this right.
I recently got my hands one of these chips but I don't see any project being done with this mc or anything else on the internet regarding it, except the datasheet. Is it possible to program it with Arduino? If not, is there any cheap programmer that does support it?
str711fr2.pdf (1.43 MB)
Is it possible to program it with Arduino?
No.
If not, is there any cheap programmer that does support it?
It's an ARM7TDMI chip; essentially the generation of small ARM cores that came just before Cortex, now something like 15 years old. gcc will support it, you can probably program it with a JTAG probe (full JTAG, not SWD), and it looks like it has some kind of built-in boot support.
However, it's not really worth your time. Get one of the much newer Cortex-M4 processors, perhaps one of the low-priced STM, NXP, or TI eval boards.