Yes, tentatively. I say "tentatively" since the Worldometer numbers change often and ceteris paribus. Based on the following numbers captured only minutes ago, the mortality rate for Italy is about 7.4 times that for Switzerland. I added Spain and the USA this time.
Date
Country
Total
Cases
Total
Deaths
Tot Cases/
1M pop
Tot Deaths/
1M pop
Deaths / Cases
3/25/2020
Italy
69,176
6,820
1,144
113
9.86%
3/25/2020
Spain
47,610
3434
1,018
73
7.21%
3/25/2020
Switzerland
10,171
135
1,175
16
1.33%
3/25/2020
USA
54,963
784
166
2
1.43%
Also, the age distribution of the countries' infected populations may differ and mortality rates vary significantly by age regardless. For example the following are mortality rates from the 2016 US Life Table.
Death probability
Age
Male
Female
65
0.015808
0.009761
70
0.023122
0.015413
75
0.035963
0.025035
80
0.057712
0.042539
85
0.096603
0.073763
90
0.163689
0.129706
Recognizing the caveats, I believe it is still safe to say that Switzerland's health care system is handling the pandemic much better than Italy's or Spain's. Based on this page, it seems that Spain's health care system is very much under government control with patients paying very little. There is some private health insurance.