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No you can't.

No you can't I am getting tired of this shit like people asking questions about can they jailbreak their ofw no it's every were you go it says 3.55 or lower like shit this is getting to overrated now.

Pardon the rude responses,
your ps3 can likely be jailbroken, but not on the OFW (official firmware) that you are currently running, your best bet is to research your model, download minvarupdate and look at the minimum firmware, if it is 3.55 and below, you're good to go!

You will need to purchase an E3 flasher, I would not recommend doing this as you have no idea what you're doing, instead go to some of your local ads, and look for a jailbreaker/modder, they will likely do it for a fee of $50-60. I personally paid $50 myself.

Best of luck,
Gnar