Yes. There are a couple things that you should look for an keep an eye out for, though. I'd highly recommend checking the QVL (qualified vendor list) for a RAM model that has been confirmed compatible. You should be able to locate this very easily with your motherboard model (type system in search and motherboard model is usually under 'BaseBoard Product'). Even if a RAM model doesn't show up on the QVL, there's a decent likelihood that it'll work.. but I'd rather it on the list than not (especially for basic RAM overclocks which should be mandatory these days).

It can be buried a bit, so I'll provide an example of about where to find the QVL. I'll use this motherboard model (PRIME X570-P) and this is where you start. From there I'll navigate to suppory Support, select the CPU/memory support tab, select Memory / Device Support, and I'll find a list of QVLs. This list is separated by CPU series.. so I'll match it to the CPU series (in my case a 5000 series because I'm using a 5600). I can't link that page directly, but it should look like an excel sheet of hundreds of RAM models.

Installation is very easy. To disengage your current RAM stick, you'll often see little thumb tabs that can be disengaged. Press those down and you should feel them disengage. Now locate a little notch on pin side of the RAM sticks which appear to be about centre, but not centre.. That picture is two different ram sticks next to each other, but the notch is the white U-shaped area you see in the centre of the picture. You'll look for that on both the RAM stick which should match the motherboard slot. As long as you locate that "notch," you can't really install it incorrectly. You may need a small amount of force to get it to click, but not much - palm of your hand and about enough to close the lid on a tupperware.

Lastly, slot does matter. This you'd find in your motherboard manual. Usually.. it's 'every other' and something like this is very standard. I've never heard of "wrong pairings" physically hurting RAM or motherboards, but the system probably won't like it and may not POST until it's properly configured (the earliest stage of a computer booting). Further, if you're running two sticks "wrongly paired" it will be a fairly measurable performance decrease.

With AMD boards two sticks is often considered the best, most stable, and most likely to work configuration. Intel can get away running four sticks a bit more reliably, but again two sticks is probably your best bet.

The last step is ensuring your RAM Overclock profile is enabled (that's the 3200 ram vs. 2666 RAM part). If you do not manually enable it, the RAM will run at default settings. You do this in the BIOs which again is fairly easy (but be warned that if you change the wrong settings, theoretically can start changing voltage in ways that can damage your equipment.) Usually it's called something like "RAM overclock profile," "DOCP," or XMP. I recommend youtubing something like ASUS RAM overclock for X570-P model and find a similar UEFI interface that you see.

If the motherboard does not like the RAM overclock (which you really should enable).. and sometimes you just have an unlucky CPU, motherboard model, motherboard, or VRM it may blackscreen on boot and appear dead. No worries, you just have to remove the CMOS battery or, if your motherboard has a reset CMOS battery, press that. Do note that resetting your CMOS may revert your BIOs settings (and things like fan curves) to default. It's not all that common anymore, but some builds - especially with peripherals - may have required some manual BIOs settings to get running previously. So I just don't want someone to try this and unknowingly reset something they cannot fix.