It's using P67 chipset which uses 20 Gb/s DMI interface to CPU. There are also pcie x8/x8 slots on board wired directly to CPU.
Incorrect, peripheral buses (e.g. PCIe and SATA) are not directly connected to the CPU.
Instead of a direct connection to the CPU, PCIe, SATA, USB, and memory have controllers (i.e. auxiliary logic) that interface to some kind of high-speed system bus. The CPU's address and data buses are typically directly connected to such a system bus.
Note that modern CPU chips are highly integrated (e.g. System-on-Chip, SoC, is possible), and the functionality of system chips (e.g. north/south-bridge chips) can be moved closer to the CPU for improved performance by tighter integration. Such CPU chips may have PCIe and SATA connections because they incorporate those controllers. But that does not mean that such peripherals are "wired directly' to any processor(s).
Is it possible to estimate maximum theoretical i/o throughput of CPU?
Yes, but throughput using programmed I/O is not a meaningful number.
Since modern computer systems typically perform I/O using 2nd- or 3rd-party DMA (rather than programmed I/O), the CPU is only involved at the start and end of the typical I/O operations.
IOW the CPU would not be the I/O bottleneck.
See https://stackoverflow.com/questions/25318145/dma-vs-interrupt-driven-i-o/38165400#38165400
and https://stackoverflow.com/questions/38119491/master-for-interrupt-based-uart-io/38155310#38155310
Therefore your question should be reworded to read:
"Is it possible to calculate theoretical I/O throughput of a computer?".
One upper bound for I/O operations would be memory bandwidth. Since I/O is always between the peripherals and main memory (while ignoring the rare use of peripheral-to-peripheral transfers using a bus master), memory speed can be a bottleneck.
Since main memory is typically much faster than any single peripheral, the issue is more likely to be contention for memory accesses by DMA controllers, bus masters, and the CPU, which needs to be arbitrated by the memory controller.