It's always possible, depending on the spyware app. But remember that your Google activity will show lots of diffferent apps, many of which are obscure system apps. You'll worry yourself to death wondering if some techy-sounding app you've never seen before on your phone is spyware or not. The real question here is why you're concerned about spyware. Did you recently install any shady apps, or visit any shady sites? Does someone seem to know all of your activity? Keep in mind that it can be very easy these days for bad guys to know a lot about a person based on everything shared on social media. So if you're posting tons of pics from your current vacation, and a thief already knows your address from publicly available information, then they know that nobody's home, and will help themselves to your stuff.
Here's my usual spiel on malware:
For the most part, it's still quite difficult to get an actual virus on your phone, because malware requires you to manually accept the installation (which is why they try to fool you into thinking you're installing something legitimate). Use common sense:
1. Avoid shady websites that deal with things like porn, gambling, and "free" (aka pirated) apps/music/movies.
2. Never ever tap on a link that appears in a popup while browsing, especially if they're warning you that your phone is infected -- they're just trying to scare you into installing some bogus "antivirus" app that is probably malicious itself.
3. Only install apps from well-established app sources like Google Play Store or Amazon Appstore. Read a bunch of app reviews before installing an app to look for any complaints about adware or suspected malware.
4. Turn on Google Play Protect features in
Settings>Google>Security. This allows Google to periodically scan your phone's apps to look for malware.
5. Turn off "Unknown Sources" in
Settings>Security. This prevents any app that wasn't obtained from Google Play Store from being installed (which could include malicious apps that are inadvertently downloaded).