Yes, it's safer
If you mean safe in the general case ("can they introduce a boot time backdoor or format my hard drive"), then yes, using a standard account is much safer.
With an administrator account, you might not install software, but as soon as some attacker manages to use a Chrome weakness to run some arbitrary software on your PC, you're done for.
It does not matter how safe Chrome is. There have been attack vectors like images libraries - they could get in (and did so, in the past) simply by placing a prepared GIF/PNG on some harmless website. They could exploit some fancy Chrome bug and install some plugin which you notice only when it's too late.
No, it's not safer
If you mean "safe" as in specifically "can they get my data, impersonate me or empty my bank account, make me take part in DDOS attacks" and so on, then no. If you are the only user of the machine anyways, and do everything from your one unprivileged account, then they can pretty much do to you whatever they could if you had admin access. They just can't harm the system itself or other users on that machine (in this scenario, there are none).
It will still make it a little harder (they will have a hard time overriding security prompts by whatever software you are using, and so on), but generally possible.
The benefit of using a standard account is that you do other stuff in other accounts. I.e., if you do general web browsing, you do that on another account than your online banking (depending on your level of paranoia). If you have wife and kids, they use different standard accounts. If you have an antivirus or a local firewall, you configure them from the admin account and not your personal one. And so on.