We investigate the feasibility of using laser accelerated protons/deuterons for positron emission tomography (PET) isotope production by means of the nuclear reactions 11 B(p, n) 11 C and 10 B(d, n) 11 C. The second reaction has a positive Q-value and no energy threshold. One can, therefore, make use of the lower energy part of the laser-generated deuterons, which includes the majority of the accelerated deuterons. The 11 C produced from the reaction 10 B(d, n) 11 C is estimated to be 7.4 × 10 9 per laser-shot at the Titan laser at Lawrence Livermore National Laboratory. Meanwhile a high-repetition table top laser irradiation is estimated to generate 3.5 × 10 7 11 C per shot from the same reaction. In terms of the 11 C activity, it is about 2 × 10 4 Bq per shot. If this laser delivers kHz, the activity is integrated to 1 GBq after 3 minutes. The number is sufficient for the practical application in medical imaging for PET.