No, you're not 'amplifying' you're simply switching - assuming you're multiplexing LED's then each segment takes 10mA or so (with the correct resistors). this means the common connection has to supply 7x10mA or 70mA - which is why it's best to use a switching transistor to do it.
However, despite Ian's pessimism, it's VERY, VERY difficult to damage a PIC - but you should certainly include current limiting resistors to the LED's, it's VERY, VERY important.
I would suggest you start 'simpler', get something working before you try and complicate matters - have a look at my tutorials, they start of by flashing a single LED, and work up from there. So get something like that working first.
You also didn't post much on the schematic at all, such as no clock components or supply decouplers