It might not, but it absolutely could cause problems.
/e/OS doesn’t have the underlying Google services which Google-dependent Apps rely on, /e/OS instead uses microG to mimic them.
This works rather well overall, but nobody can guarantee you that a Google-dependent App you really, really need will work for you at a certain point in time.
You might want to consider using LineageOS, installing the Google Apps and services you need via Open GApps (which doesn’t work with /e/OS with microG not being removable) and, if you want to use your Google account, to use Google’s device registration for the use of Google Apps and services on non-certified Android OSes, to not endanger your Google account … https://www.google.com/android/uncertified/