They absolutely can and in fact there are a whole slew of them:

Angioimmuoblastic T-cell lymphoma

Anaplastic large cell lymphoma (ALK+ or ALK- as well as the breast cancer associated and primary cutaneous types)

Adult T cell lymphoma/leukemia

T-Acute Lymphoblastic Lymphoma/Leukemia

Nasal type extranodal T cell lymphoma

Hepatosplenic T-cell lymphoma

Enteropathy associated T-cell lymphoma

Monomorphic epitheliotropic intestinal T-cell lymphoma

T-Cell Prolymphocytic leukemia

Primary Cutaneous T-Cell Lymphomas (of which there are several different types like Mycosis Fungoides, Sezary Syndrome, Lymphomatoid papulosis, Primary cutaneous gamma/delta)

They are not as common as things like lung, colon, breast, or prostate cancer, even if you lump all of them together.

Source: pathologist (but not a hematopathologist so please don't ask me for more details, here is a free online "textbook" if you want to read more: https://www.pathologyoutlines.com/lymphoma.html)