Unshielded RJ45 connectors on SFTP Cat5e
Yes, ordinary unshielded connectors will work fine.

I would suggest however, not just crimping the 8P8C male connectors on, but use an 8P8C female Jack on each end.  Then just use a patch cord. Although the 8P8C male connectors are often crimped on to the ends of infrastructure cabling, it is far less than ideal, and they do not tolerate flexing or plugging and unplugging gracefully.