Base32 is far more efficient than that. Base32 allows you to encode 5 bytes in 8 symbols, as compared to Base64, which allows you to encode 6 bytes in 8 symbols. While the exact efficiency will vary based on how many bytes your message is, for the most part Base32 produces output that is only 20% larger than Base64, let alone Base62.
Base32 is sufficient in most cases and can avoid some incidental swear words.
If you want density go for Z85, which is a 4 -> 5 byte chunked encoding and therefore much more efficient on a pipelined CPU.
https://rfc.zeromq.org/spec/32/