No, you need to think about a solution to get the power somehow. Maybe a Y-cable will do. As mentioned the system is not designed to be used with more than 4 drives, that is why there is no additional power connector -.- You need to modify it a bit  Hopefully the PSU is powerful enough to run all the components - well but SSDs do not consume that much power, as we know 
I recently bought a Dell T140 and running Unraid loving the server and specced up to 32gb ram and a E-2146G Xeon the performance is excellent for my needs. My only issue is that the PERC H330 that came with the server has the controller leads for 4 SATA drives it’s a 4 bay server so makes sense but I was hoping I could get another cable to extend this to another 4 SATA drives. Does anyone know if this is possible or is 4 the max for the raid controller?   The cable part number is OKFXNG but seems to be non existent online to purchase. As the card has two controllers, a & b I was hoping I could plug another cable into controller b to get a couple more drives squeezed in, I’m not sure whether this is possible or whether the card would require more power from the motherboard. 
H330 + T140 HDD expansion