Charging and discharging Ultracaps with a 12v DC Brushed Motor
It's easier to answer these kind of questions if you supply the components manufacturer part no. I assume you have Maxwell BCAP3000 P270 K04.

Reading the data sheet gives:

The absolute maximum current is 1900 A.

The maximum continuous current is 210 A with a ∆T=40 °C

The data sheet also tells us that the temperature rise at a given current is: 

∆T=IRMS^2 x ESR x Rca

∆T=270^2 x 0.00029 x 3.2

∆T=67.7 °C

The maximum operating temperature is 65 °C so you will be a bit over the specification if you start at room temperature. But doing this in short bursts and with sufficient cooling time, will probably not kill your capacitor but may affect its total lifespan.