Yes. If a person receives 4 or more convictions within a 1-year period, then they will get a notice of suspension letter from DPS. We highly suggest that you contact a lawyer to contest the suspension action if it is because of too many traffic related convictions. In many cases, a lawyer can negotiate a deal with the administrative hearings officer to keep your license if you do not get any other traffic related convictions within a certain period of time (normally 180 days).
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Just to add a detail that trips people up: Texas repealed the old Driver Responsibility Program in 2019, so those annual surcharges are gone, but stacking up moving violations can still get your license suspended. The key number to watch is convictions, not tickets, since deferred adjudication and dismissals do not count the same way a paid ticket does. Before you pay any ticket, ask the court whether you are eligible for a driver safety course or deferred adjudication, because once a conviction posts to your record there is no way to take it back.