Yes with the appropriate tools. You’ll need a chain whip and a lockring tool for the cassette. Some of the lockring tools come with a lever attached, with others you would need to use a wrench (12" adjustable wrench is usually good).
This is determined more by chain length and the capacity of the derailleur on your bike.
11 speed chains are compatible with 10 speed cassettes (same internal width) but 10 speed chains often will not work well on 11 speed cassettes (different external width).