Sort of, kind of, its a bit complicated.

https://www.verywellhealth.com/std-vs-sti-5214421

STDs start as sexually transmitted infections (STIs). An infection occurs when a sexually transmitted bacterium, virus, or microbe enters the body and starts multiplying. Once established, the infection can develop into a disease, known as an STD.

Although this distinction can be made, most health authorities, like the Centers for Disease Control and Prevention (CDC), use the terms interchangeably. The American Sexual Health Association mentions a shift toward using "STI," but there's no consensus in the medical and public health community.3

...

STIs are infections caused by bacteria, viruses, or parasites.6 They're usually transmitted during sexual activity through an exchange of bodily fluids or skin-to-skin contact where the infection is active.

STIs can also be transmitted through non-sexual activities involving the exchange of bodily fluids. For instance, sharing needles can spread the human immunodeficiency virus (HIV). Kissing on the mouth can transmit some STIs, though it generally poses a low risk for most.

STDs are diseases that result from STIs. All STDs start out as infections. Pathogens, which are disease-causing organisms such as viruses and bacteria, enter the body and begin multiplying. When these pathogens disrupt normal body functions, they produce diseases.

It's important to note that some STIs may never develop into diseases. For example, most human papillomavirus (HPV) cases go away on their own without causing health problems. However, HPV can produce genital warts or cervical cancer, which are diseases.

Then you also have things like yeast infections, which on their own are not STDs, are not typically considered STIs...

... but are fairly commonly mistaken as such.

But, the distinction between STIs and STDs is fairly new, and seems to be mostly a US centric thing.