Can I use two different ways to back up my Mac ?

You should be able to do both... https://support.apple.com/en-us/HT204025

I recommend another local backup option ... CarbonCopyClone ($40ish, bombich.com). It clones the drive (even to boot sectors). It makes a fully bootable external drive you can run if the internal drive fails. Also clones itself back onto a replacement system if you ever need a replacement and all of your data and applications are magically restored.

The number of backups also matters ... some people have a cycle of 3 ... 2 at home, the oldest away at a friend's house in case of fire or theft.

Two different backups are great and Time Machine and a bootable clone would protect you from any mishaps.