Is it posible to configure this VLAN on pfSense and allow Internet access through my pfSense using a default route for all the vlans on my swtich so that psSense's IP will be the next hub?
Yes, PCs in VLANs will have L3 switch as Default Gateway, and the L3 will have the pfSense box as it's DG.
Make sure that your pfSense box knows about the networks reachable through your L3 (RIP? static routes?)
Would I be able to NAT traffic from my public IP Addresses to servers located on other vlans on my network?
Yes