Since vSphere 6.7 only TLSv1.2 is enabled by default. In addition there is a tool for managing the TLS protocols:
Managing TLS Protocol Configuration with the TLS Configurator Utility
But since you didn't specify your version, other vSphere versions may look different.
And whether changing the SSL/TLS settings will have an impact depends mainly on third-party software. vSphere itself (vCenter and ESXi Hosts) will work fine with higher TLS versions from 6.5 onwards. However, if you are using other software (backup software, monitoring tools or other VMware products in older versions), they may no longer work.
Or if you use the vSphere (Web) client with an older browser that does not support TLS v1.2, you won't be able to connect to the vCenter server.
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